{"id":36356,"date":"2022-02-23T13:44:30","date_gmt":"2022-02-23T12:44:30","guid":{"rendered":"https:\/\/idsurvey.fluidhub.it\/sample-size-calculator\/"},"modified":"2025-03-18T10:13:25","modified_gmt":"2025-03-18T09:13:25","slug":"sample-size-calculator","status":"publish","type":"page","link":"https:\/\/www.idsurvey.com\/en\/sample-size-calculator\/","title":{"rendered":"Sample Size Calculator and Confidence Interval."},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"36356\" class=\"elementor elementor-36356 elementor-49\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ae098d4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ae098d4\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-wide\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-75be844\" data-id=\"75be844\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0a57faf elementor-widget elementor-widget-heading\" data-id=\"0a57faf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Sample Size Calculator and Confidence Interval<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-726f3ef elementor-widget elementor-widget-html\" data-id=\"726f3ef\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"entry-content\">\r\n\t\t\t\t\t<form id=\"formSampleSize\" name=\"sampleSize\">\r\n<div>\r\n<span style=\"font-size:20px;\">Use the online survey calculator to <a href=\"https:\/\/www.idsurvey.com\/en\/how-to-find-the-sample-size-of-your-survey\/\">determine your sample size or your confidence interval<\/a>. The online sample size calculator helps you to exactly define how big your representative statistical sample should be. Knowing the size of the survey sample allows you to accurately estimate the number of people you should involve in your survey.<\/span><p><\/p>\r\n<div class=\"fsc-menu\"><a href=\"#ssc\">Sample Calculator<\/a><a href=\"#cic\">Confidence Interval <\/a><\/div>\r\n<\/div>\r\n<div id=\"ssc\"><\/div>\r\n<div class=\"fsc-header\">\r\n<h2>Do you need to determine your sample size?<\/h2>\r\n<p><span style=\"color:#FFFFFF;\">If you need to determine the size of your survey sample, you can use this online calculator. It is a simple and intuitive tool that enables you to know how many respondents you need in your sample. The result is the \u201crepresentative statistical sample\u201d of your survey. It is called a \u201csample\u201d because it represents only a part of the total target population that you should involve in your survey.<br><a href=\"https:\/\/en.wikipedia.org\/wiki\/Sample_size_determination\" style=\"color:#F9F9F9;\" alt=\"Wiki - Learn more about Sample Planning\" target=\"_blank\" rel=\"noopener noreferrer\">Learn more about Sample Planning ><\/a><\/span>\r\n<\/p><\/div>\r\n<div class=\"fsc-table-main-container\" style=\"margin-bottom: 0;\">\r\n<div class=\"fsc-content\">\r\n<div class=\"fsc-col fsc-col-1\">\r\n<div>Population size<\/div>\r\n<div class=\"fsc-note\">If you don\u2019t know, use 20000<\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-2\"><input id=\"populationOne\" tabindex=\"3\" name=\"population\" type=\"text\" value=\"20000\"><\/div>\r\n<div class=\"fsc-col fsc-col-3\">\r\n<div class=\"fsc-note\">It\u2019s the total number of people that your sample represents and that reflects the true population (if you don\u2019t know, write 20,000 as the sample size don\u2019t change for target populations larger than that and the difference is not statistically significant).<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"fsc-content\">\r\n<div class=\"fsc-col fsc-col-1\">\r\n<div>Margin of error<\/div>\r\n<div class=\"fsc-note\">5% is a common choice<\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-2\"><select name=\"margin\"><option value=\"1\">1%<\/option><option value=\"2\">2%<\/option><option value=\"3\">3%<\/option><option value=\"4\">4%<\/option><option selected=\"selected\" value=\"5\">5%<\/option><\/select><\/div>\r\n<div class=\"fsc-col fsc-col-3\">\r\n<div class=\"fsc-note\">It\u2019s the margin of error you can accept (5% is a common true percentage). When the percentage is smaller, you\u2019re closer to the exact answer at a given confidence level. However for lower margin you require a larger sample size.<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"fsc-content\">\r\n<div class=\"fsc-col fsc-col-1\">\r\n<div>Confidence level<\/div>\r\n<div class=\"fsc-note\">Typical choices are 90%, 95%, or 99%<\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-2\"><select name=\"confidence\"><option value=\"90\">90%<\/option><option selected=\"selected\" value=\"95\">95%<\/option><option value=\"99\">99%<\/option><\/select><\/div>\r\n<div class=\"fsc-col fsc-col-3\">\r\n<div class=\"fsc-note\">It\u2019s the confidence level you can accept expressed as a percentage (90%, 95% and 99% are common levels). It\u2019s the percentage that expresses how confident you are with the results. For example, 95% confidence interval means that 19 times out of 20 the results lies within the margin of error.<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"fsc-content\">\r\n<div class=\"fsc-col fsc-col-1\">\r\n<div>Response distribution (%)<\/div>\r\n<div class=\"fsc-note\">Leave 50% if you\u2019re not sure. In most cases this parameter has to be set at 50%.<\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-2\"><input id=\"response\" tabindex=\"4\" name=\"response\" size=\"4\" type=\"text\" value=\"50\" placeholder=\"%\"><\/div>\r\n<div class=\"fsc-col fsc-col-3\">\r\n<div class=\"fsc-note\">The results you expect for each question (standard deviation). If you leave 50%, you go with the most conservative assumption.<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"fsc-content\">\r\n<div class=\"fsc-col fsc-col-1\">\r\n<div>The number of respondents needed is:<\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-2\" style=\"white-space: nowrap;\">\r\n<div id=\"sample\" class=\"fsc-result\"><b>377<\/b><\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-3\">\r\n<div class=\"fsc-note\">Minimum recommended size of your sample.<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"fsc-scenarios-containter\">\r\n<div style=\"font-size: 18px;\">Alternate scenarios<\/div>\r\n<div class=\"fsc-scenarios\">\r\n<div class=\"fsc-scenarios-row\">\r\n<div class=\"fsc-scenarios-cell\"><b>Sample size<\/b><\/div>\r\n<div class=\"fsc-scenarios-cell\"><input class=\"input-small\" tabindex=\"3\" name=\"sample1\" type=\"text\" value=\"100\"><\/div>\r\n<div class=\"fsc-scenarios-cell\"><input class=\"input-small\" tabindex=\"3\" name=\"sample2\" type=\"text\" value=\"200\"><\/div>\r\n<div class=\"fsc-scenarios-cell\"><input class=\"input-small\" tabindex=\"3\" name=\"sample3\" type=\"text\" value=\"300\"><\/div>\r\n<\/div>\r\n<div class=\"fsc-scenarios-row\">\r\n<div class=\"fsc-scenarios-cell\">Margin of error<\/div>\r\n<div id=\"margin1\" class=\"fsc-scenarios-cell\"><b>9.78%<\/b><\/div>\r\n<div id=\"margin2\" class=\"fsc-scenarios-cell\"><b>6.89%<\/b><\/div>\r\n<div id=\"margin3\" class=\"fsc-scenarios-cell\"><b>5.62%<\/b><\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"fsc-scenarios\">\r\n<div class=\"fsc-scenarios-row\">\r\n<div class=\"fsc-scenarios-cell\"><b>Confidence level<\/b><\/div>\r\n<div class=\"fsc-scenarios-cell\"><input class=\"input-small\" tabindex=\"3\" name=\"confidence1\" type=\"text\" value=\"90\"><\/div>\r\n<div class=\"fsc-scenarios-cell\"><input class=\"input-small\" tabindex=\"3\" name=\"confidence2\" type=\"text\" value=\"95\"><\/div>\r\n<div class=\"fsc-scenarios-cell\"><input class=\"input-small\" tabindex=\"3\" name=\"confidence3\" type=\"text\" value=\"99\"><\/div>\r\n<\/div>\r\n<div class=\"fsc-scenarios-row\">\r\n<div class=\"fsc-scenarios-cell\">Sample size<\/div>\r\n<div id=\"sample4\" class=\"fsc-scenarios-cell\"><b>267<\/b><\/div>\r\n<div id=\"sample5\" class=\"fsc-scenarios-cell\"><b>377<\/b><\/div>\r\n<div id=\"sample6\" class=\"fsc-scenarios-cell\"><b>643<\/b><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/form>\r\n<form id=\"confidenceIntervalForm\" name=\"confidenceInterval\">\r\n<div id=\"cic\" style=\"min-height: 20px;\"><\/div>\r\n<div class=\"fsc-header\">\r\n<h2>Do you need to determine your confidence interval?<\/h2>\r\n<p><span style=\"color:#FFFFFF;\">The confidence interval is a percentage that describes the confidence level of the result obtained with your survey. If you need to calculate the confidence interval, you can use the online calculator on this page. It is a simple and intuitive tool that enables you to define the confidence interval and to know how much sure you can be of the results obtained from your representative sample.<br><a href=\"https:\/\/en.wikipedia.org\/wiki\/Confidence_interval\" style=\"color:#F9F9F9;\" alt=\"Wiki - earn more about the confidence interval\" target=\"_blank\" rel=\"noopener noreferrer\">earn more about the confidence interval ><\/a><br>\r\n<\/span>\r\n<\/p><\/div>\r\n<div class=\"fsc-table-main-container\">\r\n<div class=\"fsc-content\">\r\n<div class=\"fsc-col fsc-col-1\">\r\n<div>Confidence level<\/div>\r\n<div class=\"fsc-note\">Typical choices are 90%, 95%, or 99%<\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-2\"><select name=\"confidence\"><option value=\"90\">90%<\/option><option selected=\"selected\" value=\"95\">95%<\/option><option value=\"99\">99%<\/option><\/select><\/div>\r\n<div class=\"fsc-col fsc-col-3\">\r\n<div class=\"fsc-note\">It\u2019s the confidence level you can accept expressed as a percentage (90%, 95% and 99% are common levels). It\u2019s the percentage that states how confident you are with the results. For example, 95% means that 19 times out of 20 the results lies within the margin of error.<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"fsc-content\">\r\n<div class=\"fsc-col fsc-col-1\">\r\n<div>Sample size<\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-2\"><input id=\"sampleSize\" tabindex=\"3\" name=\"sampleSize\" type=\"text\" value=\"0\"><\/div>\r\n<div class=\"fsc-col fsc-col-3\">\r\n<div class=\"fsc-note\">Total number of respondents.<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"fsc-content\">\r\n<div class=\"fsc-col fsc-col-1\">\r\n<div>Population size<\/div>\r\n<div class=\"fsc-note\">If you don\u2019t know, use 20000<\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-2\"><input id=\"population\" tabindex=\"3\" name=\"population\" type=\"text\" value=\"20000\"><\/div>\r\n<div class=\"fsc-col fsc-col-3\">\r\n<div class=\"fsc-note\">It\u2019s the total number of people that your sample represents (if you don\u2019t know, write 20,000 as the sample size don\u2019t change for larger populations and the difference is not statistically significant).<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"fsc-content\">\r\n<div class=\"fsc-col fsc-col-1\">\r\n<div>Response distribution (%)<\/div>\r\n<div class=\"fsc-note\">Leave 50% if you\u2019re not sure. In most cases this parameter has to be set at 50%.<\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-2\"><input id=\"percentage\" tabindex=\"4\" name=\"percentage\" size=\"4\" type=\"text\" value=\"50\" placeholder=\"%\"><\/div>\r\n<div class=\"fsc-col fsc-col-3\">\r\n<div class=\"fsc-note\">The results you expect for each question (sample standard deviation). If you leave 50%, you go with the most conservative assumption.<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"fsc-content\">\r\n<div class=\"fsc-col fsc-col-1\">\r\n<div>Your confidence interval estimate is:<\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-2\" style=\"white-space: nowrap;\">\r\n<div id=\"confidanceInterval\" class=\"fsc-result\"><b>0<\/b><\/div>\r\n<\/div>\r\n<div class=\"fsc-col fsc-col-3\">\r\n<div class=\"fsc-note\"><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/form>\r\n<div class=\"fsc-menu\">\r\n<div style=\"width: 100%; text-align: center;\">\r\n<div style=\"width: 50%; margin: 0 auto;\"><img loading=\"lazy\" decoding=\"async\" loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/03\/dashboard-and-report-in-real-time.png\" alt=\"Sample Size Calculator and Confidence Interval. Use our tools to calculate your sample size or confidence interval.\" title=\"IdSurvey tools for Sample Size Calculator and Confidence Interval\" width=\"1379\" height=\"840\"><\/div>\r\n<p><a style=\"text-align: center; background: #0c6bb5; color: #ffffff; font-size: 20px; padding: 10px 20px;\" href=\"https:\/\/www.idsurvey.com\/en\/demo-request\/\">Create surveys and questionnaires with Idsurvey<\/a><\/p>\r\n<\/div>\r\n<\/div>\r\n<p><script>\r\nfunction ProbCriticalNormal(P)\r\n{\r\n    var   Y, Pr,\tReal1, Real2, HOLD;\r\n    var  I;\r\n    var PN = [0,\r\n\t\t\t-0.322232431088  ,\r\n\t\t\t -1.0             ,\r\n\t\t\t -0.342242088547  ,\r\n\t\t\t -0.0204231210245 ,\r\n\t\t\t -0.453642210148E-4 ];\r\n    var QN = [0,\r\n\t\t\t0.0993484626060 ,\r\n\t\t\t 0.588581570495  ,\r\n\t\t\t 0.531103462366  ,\r\n\t\t\t 0.103537752850  ,\r\n\t\t\t 0.38560700634E-2 ];\r\n    Pr = 0.5 - P\/2;\r\n    if ( Pr <=1.0E-8) HOLD = 6; else { if (Pr == 0.5) HOLD = 0; else{ Y = Math.sqrt ( Math.log( 1.0 \/ (Pr * Pr) ) ); Real1 = PN[5]; Real2 = QN[5]; for ( I=4; I >= 1; I--)\r\n            {\r\n                Real1 = Real1 * Y + PN[I];\r\n                Real2 = Real2 * Y + QN[I];\r\n            }\r\n            HOLD = Y + Real1\/Real2;\r\n        }\r\n    }\r\n    return HOLD;\r\n}\r\nfunction SampleSize(margin,  confidence,  response,  population)\r\n{\r\n    probCritNorm = ProbCriticalNormal(confidence \/ 100.0);\r\n    var1 = probCritNorm * probCritNorm * response * (100.0 - response);\r\n    var2 = (population - 1.0) * (margin * margin) + var1;\r\n    if (var2 > 0.0)\r\n        return Math.ceil(population * var1 \/ var2);\r\n    return 0.0;\r\n}\r\nfunction MarginOfError(sample, confidence, response, population) {\r\n    var probCritNorm = ProbCriticalNormal(confidence \/ 100.0);\r\n    var1 = probCritNorm * probCritNorm * response * (100.0 - response);\r\n    var2 = var1 * (population - sample) \/ (sample * (population - 1.0))\r\n    if (var2 > 0.0)\r\n        return Math.sqrt(var2);\r\n    return 0.0;\r\n}\r\nfunction CalcolateSampleSize()\r\n{\r\n    var sampleSize = SampleSize(Number(document.sampleSize.margin.value),\r\n            Number(document.sampleSize.confidence.value),\r\n            Number(document.sampleSize.response.value),\r\n            Number(document.sampleSize.population.value));\r\n    document.getElementById('sample').innerHTML = ('<b>' + Math.ceil(sampleSize).toString() + '<\/b>');\r\n    sampleSize = SampleSize(Number(document.sampleSize.margin.value),\r\n                Number(document.sampleSize.confidence1.value),\r\n                Number(document.sampleSize.response.value),\r\n                Number(document.sampleSize.population.value));\r\n    document.getElementById('sample4').innerHTML = ('<b>' + Math.ceil(sampleSize).toString() + '<\/b');\r\n    sampleSize = SampleSize(Number(document.sampleSize.margin.value),\r\n            Number(document.sampleSize.confidence2.value),\r\n            Number(document.sampleSize.response.value),\r\n            Number(document.sampleSize.population.value));\r\n    document.getElementById('sample5').innerHTML = ('<b>' + Math.ceil(sampleSize).toString() + '<\/b');\r\n    sampleSize = SampleSize(Number(document.sampleSize.margin.value),\r\n            Number(document.sampleSize.confidence3.value),\r\n            Number(document.sampleSize.response.value),\r\n            Number(document.sampleSize.population.value));\r\n    document.getElementById('sample6').innerHTML = ('<b>' + Math.ceil(sampleSize).toString() + '<\/b');\r\n    var m = MarginOfError(Number(document.sampleSize.sample1.value),\r\n            Number(document.sampleSize.confidence.value),\r\n            Number(document.sampleSize.response.value),\r\n            Number(document.sampleSize.population.value));\r\n    document.getElementById('margin1').innerHTML = ('<b>' + m.toFixed(2).toString() + '%<\/b');\r\n    m = MarginOfError(Number(document.sampleSize.sample2.value),\r\n            Number(document.sampleSize.confidence.value),\r\n            Number(document.sampleSize.response.value),\r\n            Number(document.sampleSize.population.value));\r\n    document.getElementById('margin2').innerHTML = ('<b>' + m.toFixed(2).toString() + '%<\/b');\r\n    m = MarginOfError(Number(document.sampleSize.sample3.value),\r\n            Number(document.sampleSize.confidence.value),\r\n            Number(document.sampleSize.response.value),\r\n            Number(document.sampleSize.population.value));\r\n    document.getElementById('margin3').innerHTML = ('<b>' + m.toFixed(2).toString() + '%<\/b');\r\n    return true;\r\n}\r\n        \/\/Secondo script\r\ncount = 0;\r\nsampleSize=0;\r\npopulation = 0;\r\nperc=0;\r\npopulationParameter = 0;\r\nfunction CalcolateConfidenceInterval() {\r\n    if (document.confidenceInterval.sampleSize.value == \"\") {\r\n        sampleSize = 0\r\n    }\r\n    else {\r\n        sampleSize = eval(document.confidenceInterval.sampleSize.value)\r\n    }\r\n    if (document.confidenceInterval.population.value == \"\") {\r\n        population = 0\r\n    } else {\r\n        population = eval(document.confidenceInterval.population.value)\r\n    }\r\n    if (document.confidenceInterval.percentage.value == \"\") {\r\n        perc=0}\r\n    else {\r\n        perc = eval(document.confidenceInterval.percentage.value)\r\n    }\r\n    if (sampleSize == 0 || perc < 1 || perc > 99) {\r\n        document.getElementById('confidanceInterval').innerHTML = ('<b>0<\/b>');\r\n    }\r\n    else {\r\n        if (population == 0) {\r\n            populationParameter = 1 }\r\n        else {\r\n            populationParameter = (population - sampleSize) \/ (population - 1)\r\n        }\r\n        var prob = ProbCriticalNormal(document.confidenceInterval.confidence.value \/ 100.0)\r\n        count = Math.sqrt((prob * prob) * (perc \/ 100) * (1 - perc \/ 100) \/ sampleSize * populationParameter) * 100\r\n        if (isNaN(count)) {\r\n            count = 0;\r\n        }\r\n        document.getElementById('confidanceInterval').innerHTML = ('<b>' + Math.round(count * 100) \/ 100 + '<\/b>');\r\n    }\r\n}\r\n    CalcolateConfidenceInterval();\r\n    CalcolateSampleSize();\r\njQuery(\"#formSampleSize input\").on(\"keyup\",function(){\r\nCalcolateSampleSize();\r\n}).on(\"change\",function(){\r\nCalcolateSampleSize();\r\n});\r\njQuery(\"#formSampleSize select\").on(\"change\",function(){\r\nCalcolateSampleSize();\r\n});\r\njQuery(\"#confidenceIntervalForm input\").on(\"keyup\",function(){\r\nCalcolateConfidenceInterval();\r\n}).on(\"change\",function(){\r\nCalcolateConfidenceInterval();\r\n});\r\njQuery(\"#confidenceIntervalForm select\").on(\"change\",function(){\r\nCalcolateConfidenceInterval();\r\n});\r\n    <\/script><\/p>\r\n\t\t\t\t\t<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-88f70a1 elementor-widget elementor-widget-heading\" data-id=\"88f70a1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Sample Size Calculator FAQ<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-09a1788 elementor-widget elementor-widget-text-editor\" data-id=\"09a1788\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>What is \u201csample size,\u201d and why is it important?<\/strong><\/p><p>The sample size is the number of individuals selected from a larger population to participate in a survey or study. It is important because it ensures that the results are statistically valid and representative of the entire population. A well-calculated sample size reduces the margin of error and increases the reliability of conclusions, making the findings more accurate and applicable.<\/p><p>\u00a0<\/p><p><strong>How is the sample size calculated with this calculator?<\/strong><\/p><p>Our Sample Size Calculator uses four key parameters to determine the optimal sample size:<\/p><ul><li>Confidence Level (%): The probability that the sample accurately represents the population. Common values are 95% or 99%.<\/li><li>Margin of Error (%): The acceptable level of inaccuracy in the results. A lower margin of error increases accuracy but requires a larger sample size.<\/li><li>Population Size: The total number of people that could be included in the study. If the population is small, the calculator adjusts the formula accordingly.<\/li><li>Standard Deviation (%): A measure of variability within the population, expressed as a percentage. If the exact value is unknown, a default of 50% (0.5) is often used, as it represents the highest uncertainty and ensures a conservative estimate.<\/li><\/ul><p>\u00a0<\/p><p>By entering these values into the calculator, you will get an accurate estimate of the sample size needed to obtain statistically valid results.<\/p><p>\u00a0<\/p><p><strong>What is the difference between a 5% and a 3% margin of error?<\/strong><\/p><p>The margin of error represents the range within which the survey results may vary from the true population values.<\/p><ul><li>A 5% margin of error means that the survey results can fluctuate by \u00b15% from the actual population values.<\/li><li>A 3% margin of error reduces this variability, providing more precise results, but it requires a larger sample size.<\/li><li>\u00a0<\/li><\/ul><p>If you need higher accuracy, it is advisable to decrease the margin of error and increase the number of respondents.<\/p><p>\u00a0<\/p><p><strong>What happens if the population is very small?<\/strong><\/p><p>If your population is small (e.g., fewer than 1,000 people), the calculator automatically adjusts the formula to provide a realistic sample size.<\/p><p>For very small populations, you may need to survey a higher percentage of the population to obtain reliable results. In some cases, surveying the entire population (a census) may be more practical than using a sample.<\/p><p>\u00a0<\/p><p><strong>Can I use this calculator for any type of research?<\/strong><\/p><p>Yes! Our Sample Size Calculator is useful for various types of research, including:<br \/>\u2022 <a href=\"https:\/\/www.idsurvey.com\/en\/market-research\/\">Market research surveys<\/a><br \/>\u2022 <a href=\"https:\/\/www.idsurvey.com\/en\/academic-research\/\">Academic and scientific studies<\/a><br \/>\u2022 <a href=\"https:\/\/www.idsurvey.com\/en\/social-research\/\">Social and political research<\/a><br \/>\u2022 <a href=\"https:\/\/www.idsurvey.com\/en\/customer-experience-software\/\">Product testing<\/a><\/p><p>\u00a0<\/p><p>\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c16027e width-90-perc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c16027e\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-d2fd030\" data-id=\"d2fd030\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a5057b4 elementor-widget__width-initial padd-right-3vh elementor-widget elementor-widget-heading\" data-id=\"a5057b4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Request CATI software demo<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6b1ab45 elementor-widget__width-initial padd-right-3vh elementor-widget elementor-widget-heading\" data-id=\"6b1ab45\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Fill in the form to schedule a demo of IdSurvey.<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-17e7211 elementor-widget__width-initial padd-right-3vh elementor-widget elementor-widget-text-editor\" data-id=\"17e7211\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\tIdSurvey is the survey software professionals love.\r\nThanks to its advanced survey tools it\u2019s easy to design even the most complex questionnaires.\r\nSchedule a free live demo with our team\u00a0today.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-615cff8 sez-loghi-b elementor-hidden-mobile_extra elementor-hidden-mobile elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"615cff8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-ffb790f elenco-loghi\" data-id=\"ffb790f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4d1dde6 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"4d1dde6\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"205\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/ipsos.png\" class=\"attachment-large size-large wp-image-36101\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d2b8c1c elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"d2b8c1c\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"327\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/tim.png\" class=\"attachment-large size-large wp-image-36106\" alt=\"TIM uses IdSurvey data collection software\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/tim.png 327w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/tim-300x202.png 300w\" sizes=\"(max-width: 327px) 100vw, 327px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-420aafa elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"420aafa\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"458\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/mcnair-yellow.png\" class=\"attachment-large size-large wp-image-36104\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/mcnair-yellow.png 458w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/mcnair-yellow-300x144.png 300w\" sizes=\"(max-width: 458px) 100vw, 458px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dbcb9e3 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"dbcb9e3\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"507\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/unicef.png\" class=\"attachment-large size-large wp-image-36108\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/unicef.png 507w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/unicef-300x130.png 300w\" sizes=\"(max-width: 507px) 100vw, 507px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a730c0d elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"a730c0d\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"570\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/dekra.png\" class=\"attachment-large size-large wp-image-36097\" alt=\"Dekra trusts IdSurvey for data collection\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/dekra.png 570w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/dekra-300x116.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f064ee0 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"f064ee0\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"381\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/coop.png\" class=\"attachment-large size-large wp-image-36096\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/coop.png 381w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/coop-300x173.png 300w\" sizes=\"(max-width: 381px) 100vw, 381px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-45e24a4 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"45e24a4\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"330\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/atos.png\" class=\"attachment-large size-large wp-image-36095\" alt=\"atos\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/atos.png 330w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/atos-300x200.png 300w\" sizes=\"(max-width: 330px) 100vw, 330px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3ba16bf elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"3ba16bf\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"248\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/aboca.png\" class=\"attachment-large size-large wp-image-36093\" alt=\"Aboca uses IdSurvey data collection software\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-578ef7b elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"578ef7b\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"507\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/almaviva.png\" class=\"attachment-large size-large wp-image-36094\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/almaviva.png 507w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/almaviva-300x130.png 300w\" sizes=\"(max-width: 507px) 100vw, 507px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ade4ff8 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"ade4ff8\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"408\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/emg.png\" class=\"attachment-large size-large wp-image-36098\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/emg.png 408w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/emg-300x162.png 300w\" sizes=\"(max-width: 408px) 100vw, 408px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e5a283c elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"e5a283c\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"310\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/kpmg.png\" class=\"attachment-large size-large wp-image-36102\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/kpmg.png 310w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/kpmg-300x213.png 300w\" sizes=\"(max-width: 310px) 100vw, 310px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-73b335d elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"73b335d\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"570\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/universita-siena.png\" class=\"attachment-large size-large wp-image-36109\" alt=\"University of Siena trusts IdSurvey for data collection\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/universita-siena.png 570w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/universita-siena-300x116.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-4a10ce9\" data-id=\"4a10ce9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1c45651 elementor-widget elementor-widget-html\" data-id=\"1c45651\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<!-- BEGIN Podio web form -->\r\n<script src=\"https:\/\/podio.com\/webforms\/23037942\/1639125.js\"><\/script>\r\n<script type=\"text\/javascript\">  _podioWebForm.render(\"1639125\")<\/script>\r\n<noscript>\r\n  <a href=\"https:\/\/podio.com\/webforms\/23037942\/1639125\" target=\"_blank\" rel=\"noopener noreferrer\">Per favore 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https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/tim-300x202.png 300w\" sizes=\"(max-width: 327px) 100vw, 327px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aec9f5b elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"aec9f5b\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"458\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/mcnair-yellow.png\" class=\"attachment-large size-large wp-image-36104\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/mcnair-yellow.png 458w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/mcnair-yellow-300x144.png 300w\" sizes=\"(max-width: 458px) 100vw, 458px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d8f6843 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"d8f6843\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"507\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/unicef.png\" class=\"attachment-large size-large wp-image-36108\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/unicef.png 507w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/unicef-300x130.png 300w\" sizes=\"(max-width: 507px) 100vw, 507px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a65fff0 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"a65fff0\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"570\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/dekra.png\" class=\"attachment-large size-large wp-image-36097\" alt=\"Dekra trusts IdSurvey for data collection\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/dekra.png 570w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/dekra-300x116.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0168513 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"0168513\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"381\" 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elementor-widget-image\" data-id=\"b137672\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"507\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/almaviva.png\" class=\"attachment-large size-large wp-image-36094\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/almaviva.png 507w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/almaviva-300x130.png 300w\" sizes=\"(max-width: 507px) 100vw, 507px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-caae052 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"caae052\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"408\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/emg.png\" class=\"attachment-large size-large wp-image-36098\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/emg.png 408w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/emg-300x162.png 300w\" sizes=\"(max-width: 408px) 100vw, 408px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4fcb885 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"4fcb885\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"310\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/kpmg.png\" class=\"attachment-large size-large wp-image-36102\" alt=\"\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/kpmg.png 310w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/kpmg-300x213.png 300w\" sizes=\"(max-width: 310px) 100vw, 310px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-84edd82 elementor-widget__width-auto elementor-widget elementor-widget-image\" data-id=\"84edd82\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"570\" height=\"220\" src=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/universita-siena.png\" class=\"attachment-large size-large wp-image-36109\" alt=\"University of Siena trusts IdSurvey for data collection\" srcset=\"https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/universita-siena.png 570w, https:\/\/www.idsurvey.com\/is-content\/uploads\/2022\/02\/universita-siena-300x116.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Sample Size Calculator and Confidence Interval Use the online survey calculator to determine your sample size or your confidence interval. 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