{"id":8310942,"date":"2025-09-16T10:33:13","date_gmt":"2025-09-16T07:33:13","guid":{"rendered":"https:\/\/elementor.com\/tools\/?p=8310942"},"modified":"2025-09-16T10:35:38","modified_gmt":"2025-09-16T07:35:38","slug":"sample-size-calculator","status":"publish","type":"post","link":"https:\/\/elementor.com\/tools\/sample-size-calculator\/","title":{"rendered":"Sample Size Calculator"},"content":{"rendered":"\t\t<div data-elementor-type=\"container\" data-elementor-id=\"8310940\" class=\"elementor elementor-8310940\" data-elementor-post-type=\"elementor_library\">\n\t\t\t\t<div class=\"elementor-element elementor-element-23691a2c e-flex e-con-boxed e-con e-parent\" data-id=\"23691a2c\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-37c3711c elementor-widget elementor-widget-html\" data-id=\"37c3711c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<style>\r\n    \/* --- Styles Adapted from Your Provided Code --- *\/\r\n\r\n    \/* Main App Container *\/\r\n    .sample-size-calculator-app {\r\n        width: 100%;\r\n        max-width: 700px; \/* Adjusted for a single-panel layout *\/\r\n        margin: 0 auto;\r\n        padding: 40px 15px 0;\r\n        background: transparent;\r\n        font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Helvetica, Arial, sans-serif;\r\n    }\r\n\r\n    \/* Primary Action Button (e.g., Calculate) *\/\r\n    .format-btn {\r\n        background-color: #000;\r\n        color: white;\r\n        border: none;\r\n        padding: 12px 20px;\r\n        cursor: pointer;\r\n        font-size: 1.125rem;\r\n        font-weight: 500;\r\n        transition: all 0.2s;\r\n        pointer-events: all;\r\n        min-width: 11rem;\r\n        text-align: center;\r\n        width: 100%;\r\n        border-radius: 4px;\r\n    }\r\n\r\n    .format-btn:is(:hover, :focus, :focus-visible, :active){\r\n        background-color: #545454;\r\n    }\r\n\r\n    \/* Secondary Action Button (e.g., Reset) *\/\r\n    .reset-btn {\r\n        background: none;\r\n        border: none;\r\n        color: black;\r\n        text-decoration: underline;\r\n        font-size: 1rem;\r\n        cursor: pointer;\r\n        padding: 0;\r\n        margin-top: 16px;\r\n        transition: color 0.2s;\r\n    }\r\n\r\n    .reset-btn:is(:hover, :focus, :focus-visible, :active) {\r\n       background: none;\r\n       color: #545454;\r\n       text-decoration: underline;\r\n    }\r\n\r\n    \/* Main Calculator Panel *\/\r\n    .calculator-section {\r\n        width: 100%;\r\n        display: flex;\r\n        flex-direction: column;\r\n        background: white;\r\n        border-radius: 8px;\r\n        overflow: hidden;\r\n        border: 1.5px solid #EBEBEB;\r\n        box-shadow: 0 4px 15px rgba(0,0,0,0.08);\r\n    }\r\n\r\n    \/* Panel Header *\/\r\n    .section-header {\r\n        background-color: #05047E;\r\n        color: white;\r\n        padding: 12px 20px;\r\n        font-weight: 500;\r\n        font-size: 1.125rem;\r\n    }\r\n    \r\n    \/* --- New Styles for the Calculator --- *\/\r\n    \r\n    \/* Form Container *\/\r\n    .calculator-form {\r\n        padding: 25px;\r\n        display: flex;\r\n        flex-direction: column;\r\n        gap: 20px;\r\n    }\r\n\r\n    .form-group {\r\n        display: flex;\r\n        flex-direction: column;\r\n        gap: 8px;\r\n    }\r\n\r\n    .form-group label {\r\n        font-weight: 500;\r\n        color: #333;\r\n        font-size: 1rem;\r\n    }\r\n\r\n    .form-group input,\r\n    .form-group select {\r\n        width: 100%;\r\n        padding: 10px 12px;\r\n        border: 1px solid #ddd;\r\n        border-radius: 4px;\r\n        font-size: 1rem;\r\n        background-color: #fdfdfd;\r\n        box-sizing: border-box; \/* Ensures padding doesn't affect width *\/\r\n    }\r\n\r\n    .form-group input:focus,\r\n    .form-group select:focus {\r\n        outline: none;\r\n        border-color: #05047E;\r\n        box-shadow: 0 0 0 2px rgba(5, 4, 126, 0.2);\r\n    }\r\n    \r\n    \/* Button & Reset Container *\/\r\n    .btn-container {\r\n        display: flex;\r\n        flex-direction: column;\r\n        align-items: center;\r\n        margin-top: 10px;\r\n    }\r\n\r\n    \/* Result Display Area *\/\r\n    #resultContainer {\r\n        margin-top: 25px;\r\n        padding: 20px;\r\n        border-top: 1.5px solid #EBEBEB;\r\n        text-align: center;\r\n        background-color: #f8f9fa;\r\n        display: none; \/* Initially hidden *\/\r\n    }\r\n\r\n    #resultContainer p {\r\n        margin: 0 0 8px 0;\r\n        font-size: 1.1rem;\r\n        color: #555;\r\n    }\r\n\r\n    #sampleSizeResult {\r\n        font-size: 3rem;\r\n        font-weight: 700;\r\n        color: #05047E;\r\n        margin: 0;\r\n    }\r\n\r\n    \/* Error Message Style *\/\r\n    #error-message {\r\n        color: #cf2e2e;\r\n        font-size: 0.9rem;\r\n        margin-top: 5px;\r\n        display: none; \/* Initially hidden *\/\r\n    }\r\n\r\n<\/style>\r\n\r\n<div class=\"sample-size-calculator-app\">\r\n    <div class=\"calculator-section\">\r\n        <div class=\"section-header\">\r\n            Sample Size Calculator\r\n        <\/div>\r\n        <form class=\"calculator-form\" id=\"calculatorForm\">\r\n            <div class=\"form-group\">\r\n                <label for=\"populationSize\">Population Size<\/label>\r\n                <input type=\"number\" id=\"populationSize\" placeholder=\"e.g., 20000\" min=\"1\" required>\r\n            <\/div>\r\n\r\n            <div class=\"form-group\">\r\n                <label for=\"confidenceLevel\">Confidence Level<\/label>\r\n                <select id=\"confidenceLevel\">\r\n                    <option value=\"1.645\">90%<\/option>\r\n                    <option value=\"1.96\" selected>95%<\/option>\r\n                    <option value=\"2.576\">99%<\/option>\r\n                <\/select>\r\n            <\/div>\r\n            \r\n            <div class=\"form-group\">\r\n                <label for=\"marginOfError\">Margin of Error (%)<\/label>\r\n                <input type=\"number\" id=\"marginOfError\" placeholder=\"e.g., 5\" value=\"5\" min=\"0.1\" max=\"100\" step=\"0.1\" required>\r\n            <\/div>\r\n            <div id=\"error-message\"><\/div>\r\n\r\n            <div class=\"btn-container\">\r\n                 <button type=\"submit\" id=\"calculateBtn\" class=\"format-btn\">Calculate<\/button>\r\n                 <button type=\"button\" id=\"resetBtn\" class=\"reset-btn\">Reset<\/button>\r\n            <\/div>\r\n        <\/form>\r\n        <div id=\"resultContainer\">\r\n            <p>Required Sample Size:<\/p>\r\n            <h2 id=\"sampleSizeResult\"><\/h2>\r\n        <\/div>\r\n    <\/div>\r\n<\/div>\r\n\r\n<script>\r\ndocument.addEventListener('DOMContentLoaded', () => {\r\n    const calculatorForm = document.getElementById('calculatorForm');\r\n    const populationSizeInput = document.getElementById('populationSize');\r\n    const confidenceLevelSelect = document.getElementById('confidenceLevel');\r\n    const marginOfErrorInput = document.getElementById('marginOfError');\r\n    const resultContainer = document.getElementById('resultContainer');\r\n    const sampleSizeResultEl = document.getElementById('sampleSizeResult');\r\n    const resetBtn = document.getElementById('resetBtn');\r\n    const errorMessageEl = document.getElementById('error-message');\r\n\r\n    calculatorForm.addEventListener('submit', (event) => {\r\n        event.preventDefault();\r\n        \r\n        \/\/ --- Clear previous errors and hide results\r\n        errorMessageEl.style.display = 'none';\r\n        errorMessageEl.textContent = '';\r\n        resultContainer.style.display = 'none';\r\n\r\n        \/\/ --- Get and validate inputs\r\n        const N = parseInt(populationSizeInput.value, 10);\r\n        const Z = parseFloat(confidenceLevelSelect.value);\r\n        const e_percent = parseFloat(marginOfErrorInput.value);\r\n\r\n        if (isNaN(N) || N <= 0) {\r\n            showError('Please enter a valid population size.');\r\n            return;\r\n        }\r\n        if (isNaN(e_percent) || e_percent <= 0 || e_percent > 20) {\r\n            showError('Margin of error must be a positive number, typically 20% or less.');\r\n            return;\r\n        }\r\n\r\n        \/\/ --- Calculate Sample Size\r\n        const e = e_percent \/ 100; \/\/ Convert margin of error to a decimal\r\n        const p = 0.5; \/\/ Assume 50% for maximum variability, giving the most conservative sample size.\r\n\r\n        \/\/ Cochran's formula for an infinite population\r\n        const n0 = (Z * Z * p * (1 - p)) \/ (e * e);\r\n\r\n        \/\/ Adjusted formula for a finite population\r\n        const sampleSize = Math.ceil(n0 \/ (1 + ((n0 - 1) \/ N)));\r\n\r\n        \/\/ --- Display Result\r\n        if (!isNaN(sampleSize) && sampleSize > 0) {\r\n            sampleSizeResultEl.textContent = sampleSize > N ? 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