{"id":748,"date":"2023-07-28T21:38:49","date_gmt":"2023-07-28T21:38:49","guid":{"rendered":"https:\/\/statorials.org\/nl\/een-z-test-proportiecalculator\/"},"modified":"2023-07-28T21:38:49","modified_gmt":"2023-07-28T21:38:49","slug":"een-z-test-proportiecalculator","status":"publish","type":"post","link":"https:\/\/statorials.org\/nl\/een-z-test-proportiecalculator\/","title":{"rendered":"E\u00e9n proportie z-testcalculator"},"content":{"rendered":"<p><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjs\/5.1.1\/math.js\"><\/script><script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jstat@latest\/dist\/jstat.min.js\"><\/script><\/p>\n<style>\n@import url('https:\/\/fonts.googleapis.com\/css?family=Droid+Serif|Raleway');<\/p>\n<p>.axis--y .domain {\n  display: none;\n}<\/p>\n<p>h1 {\ntext-align: center;\nfont-size: 50px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>p {\ncolor: black;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>#words {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#words_calc {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#hr_top {\nwidth: 30%;\nmargin-bottom: 0px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#hr_bottom {\nwidth: 30%;\nmargin-top: 15px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#words label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #buttonCalc {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;\n      padding: 10px 10px;\n      cursor: pointer;\n      outline: none;\n      background-color: white;\n      color: black;\n      font-family: 'Work Sans', sans-serif;\n      border: 1px solid grey;\n      \/* Green *\/\n    }<\/p>\n<p>    #buttonCalc:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}\n<\/style>\n<div id=\"words_intro\">Een <b>z-test met \u00e9\u00e9n proportie<\/b> wordt gebruikt om een waargenomen proportie te vergelijken met een theoretisch proportie. De teststatistiek wordt als volgt berekend:<\/div>\n<div id=\"words_intro\"> <b>z<\/b> = (pp <sub>0<\/sub> ) \/ \u221a <span style=\"border-top: 1px solid black;\">(p <sub>0<\/sub> (1-p <sub>0<\/sub> )\/n)<\/span><\/div>\n<div id=\"words_intro\"> Goud:<\/div>\n<div id=\"words_intro\">\n<ul>\n<li> p = waargenomen monsteraandeel<\/li>\n<li> p <sub>0<\/sub> = hypothetisch deel van de bevolking<\/li>\n<li> n = steekproefomvang<\/li>\n<\/ul>\n<\/div>\n<div id=\"words_intro\"> Om een z-test met \u00e9\u00e9n proportie uit te voeren, vult u eenvoudigweg de onderstaande informatie in en klikt u vervolgens op de knop &#8218;Berekenen&#8216;.<\/div>\n<div id=\"words\"> <label><b>p <sub>0<\/sub><\/b> (hypothetisch aandeel van de bevolking)<\/label><input type=\"number\" id=\"p0\" value=\"0.42\"><\/div>\n<div id=\"words\"> <label><b>p<\/b> (waargenomen steekproefaandeel)<\/label><input type=\"number\" id=\"p\" value=\"0.47\"><\/div>\n<div id=\"words\"> <label><b>n<\/b> (steekproefgrootte)<\/label> <input type=\"number\" id=\"n\" value=\"30\"><\/div>\n<div id=\"words_calc\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words\">\n<p> z-statistiek: <span id=\"z\">0,55487<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> p-waarde (eenzijdig): <span id=\"p1\">0,28949<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> p-waarde (2-zijdig): <span id=\"p2\">0,57898<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> 95% BI = [ <span id=\"low\">0,2914<\/span> , <span id=\"high\">0,6486<\/span> ]<\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {<\/p>\n<p>\/\/get input values\nvar p0 = +document.getElementById('p0').value;\nvar p = +document.getElementById('p').value;\nvar n = +document.getElementById('n').value;<\/p>\n<p>\/\/calculate stuff\nvar z = (p-p0)\/(Math.sqrt(p0*(1-p0)\/n));<\/p>\n<p>\/\/calculate p-value\nif (z<0) {\nvar p1 = jStat.normal.cdf(z, 0, 1);\nvar p2 = p1*2;\n} else {\nvar p1 = 1-jStat.normal.cdf(z, 0, 1);\nvar p2 = p1*2;\n}\n\n\/\/calculate C.I.\nvar zCrit = Math.abs(jStat.normal.inv(.975, 0, 1));\nvar se = Math.sqrt(p*(1-p)\/n);\nvar low = p - (zCrit*se);\nvar high = p - (-1*zCrit*se);\n\n\/\/output probabilities\ndocument.getElementById('z').innerHTML = z.toFixed(5);\ndocument.getElementById('p1').innerHTML = p1.toFixed(5);\ndocument.getElementById('p2').innerHTML = p2.toFixed(5);\ndocument.getElementById('low').innerHTML = low.toFixed(4);\ndocument.getElementById('high').innerHTML = high.toFixed(4);\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Een z-test met \u00e9\u00e9n proportie wordt gebruikt om een waargenomen proportie te vergelijken met een theoretisch proportie. De teststatistiek wordt als volgt berekend: z = (pp 0 ) \/ \u221a (p 0 (1-p 0 )\/n) Goud: p = waargenomen monsteraandeel p 0 = hypothetisch deel van de bevolking n = steekproefomvang Om een z-test met [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-748","post","type-post","status-publish","format-standard","hentry","category-gids"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>E\u00e9n Proportie Z-testcalculator - Statorialen<\/title>\n<meta name=\"description\" content=\"Deze rekenmachine voert een z-test met \u00e9\u00e9n proportie uit op basis van door de gebruiker opgegeven invoer.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/nl\/een-z-test-proportiecalculator\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"E\u00e9n Proportie Z-testcalculator - Statorialen\" \/>\n<meta property=\"og:description\" content=\"Deze rekenmachine voert een z-test met \u00e9\u00e9n proportie uit op basis van door de gebruiker opgegeven invoer.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/nl\/een-z-test-proportiecalculator\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T21:38:49+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Verfasst von\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/nl\/een-z-test-proportiecalculator\/\",\"url\":\"https:\/\/statorials.org\/nl\/een-z-test-proportiecalculator\/\",\"name\":\"E\u00e9n Proportie Z-testcalculator - Statorialen\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/nl\/#website\"},\"datePublished\":\"2023-07-28T21:38:49+00:00\",\"dateModified\":\"2023-07-28T21:38:49+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/d4b8842173cca1bb62cdec41860e4219\"},\"description\":\"Deze rekenmachine voert een z-test met \u00e9\u00e9n proportie uit op basis van door de gebruiker opgegeven invoer.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/nl\/een-z-test-proportiecalculator\/#breadcrumb\"},\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/nl\/een-z-test-proportiecalculator\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/nl\/een-z-test-proportiecalculator\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Thuis\",\"item\":\"https:\/\/statorials.org\/nl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"E\u00e9n proportie z-testcalculator\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/nl\/#website\",\"url\":\"https:\/\/statorials.org\/nl\/\",\"name\":\"Statorials\",\"description\":\"Uw gids voor statistische competentie\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/nl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/d4b8842173cca1bb62cdec41860e4219\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de\",\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/nl\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/nl\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Ik ben Benjamin, een gepensioneerde hoogleraar statistiek die nu een toegewijde Statorials-lesgever is. 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