{"id":1626,"date":"2023-07-25T14:55:46","date_gmt":"2023-07-25T14:55:46","guid":{"rendered":"https:\/\/statorials.org\/id\/interval-kepercayaan-binomial-r\/"},"modified":"2023-07-25T14:55:46","modified_gmt":"2023-07-25T14:55:46","slug":"interval-kepercayaan-binomial-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/interval-kepercayaan-binomial-r\/","title":{"rendered":"Cara menghitung interval kepercayaan binomial di r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Interval kepercayaan untuk probabilitas binomial<\/strong> dihitung menggunakan rumus berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Interval kepercayaan = p<\/strong> <strong>+\/- z*(\u221a <span style=\"text-decoration: overline;\">p(1-p) \/ n<\/span> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> proporsi \u201ckeberhasilan\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>z :<\/strong> nilai z yang dipilih<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> ukuran sampel<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nilai z yang Anda gunakan bergantung pada tingkat kepercayaan yang Anda pilih. Tabel berikut menunjukkan nilai z yang sesuai dengan pilihan tingkat kepercayaan yang paling umum:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Tingkat kepercayaan diri<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>nilai z<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,90<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.645<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,95<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.96<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,99<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2.58<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Misalnya, kita ingin memperkirakan proporsi penduduk di suatu daerah yang mendukung undang-undang tertentu. Kami memilih sampel acak sebanyak 100 penduduk dan menemukan bahwa 56 di antaranya mendukung undang-undang tersebut.<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\">Tutorial ini menjelaskan tiga cara berbeda untuk menghitung interval kepercayaan untuk proporsi sebenarnya penduduk suatu wilayah yang mendukung undang-undang tersebut.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Metode 1: Gunakan fungsi prop.test()<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Salah satu cara menghitung interval kepercayaan binomial 95% adalah dengan menggunakan fungsi <strong>prop.test()<\/strong> di basis R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate 95% confidence interval\n<\/span>prop. <span style=\"color: #3366ff;\">test<\/span> (x=56, n=100, conf. <span style=\"color: #3366ff;\">level<\/span> =.95, correct= <span style=\"color: #008000;\">FALSE<\/span> )\n\n\n\t1-sample proportions test without continuity correction\n\ndata: 56 out of 100, null probability 0.5\nX-squared = 1.44, df = 1, p-value = 0.2301\nalternative hypothesis: true p is not equal to 0.5\n95 percent confidence interval:\n 0.4622810 0.6532797\nsample estimates:\n   p \n0.56 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">CI 95% untuk proporsi sebenarnya penduduk daerah yang mendukung undang-undang tersebut adalah <strong>[.46228, .65328]<\/strong> .<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Metode 2: Gunakan fungsi binconf()<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Cara lain untuk menghitung interval kepercayaan adalah dengan menggunakan fungsi <strong>binconf()<\/strong> dari paket <strong>Hmisc<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (Hmisc)<\/span>\n\n#calculate 95% confidence interval\n<\/span>binconf(x=56, n=100, alpha=.05)\n\n PointEast Lower Upper\n     0.56 0.462281 0.6532797\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Perhatikan bahwa interval kepercayaan ini sesuai dengan interval kepercayaan yang dihitung pada contoh sebelumnya.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Metode 3: Hitung interval kepercayaan secara manual<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Cara lain untuk menghitung interval kepercayaan binomial 95% di R adalah dengan melakukannya secara manual:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define proportion\n<\/span>p &lt;- 56\/100\n\n<span style=\"color: #008080;\">#define significance level\n<\/span>a &lt;- .05\n\n<span style=\"color: #008080;\">#calculate 95% confidence interval\n<\/span>p + c(- <span style=\"color: #3366ff;\">qnorm<\/span> (1-a\/2), <span style=\"color: #3366ff;\">qnorm<\/span> (1-a\/2))* <span style=\"color: #3366ff;\">sqrt<\/span> ((1\/100)*p*(1-p))\n\n[1] 0.4627099 0.6572901<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Pelajari lebih lanjut tentang fungsi <strong>qnorm()<\/strong> di sini: <a href=\"https:\/\/statorials.org\/id\/dnorm-pnorm-rnorm-qnorm-di-r\/\">Panduan untuk dnorm, pnorm, qnorm, dan rnorm di R<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/uji-binomial-r\/\" target=\"_blank\" rel=\"noopener\">Cara melakukan tes binomial di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/plot-distribusi-binomial-r\/\" target=\"_blank\" rel=\"noopener\">Cara memplot distribusi binomial di R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Interval kepercayaan untuk probabilitas binomial dihitung menggunakan rumus berikut: Interval kepercayaan = p +\/- z*(\u221a p(1-p) \/ n ) Emas: p: proporsi \u201ckeberhasilan\u201d z : nilai z yang dipilih n: ukuran sampel Nilai z yang Anda gunakan bergantung pada tingkat kepercayaan yang Anda pilih. Tabel berikut menunjukkan nilai z yang sesuai dengan pilihan tingkat kepercayaan [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Cara menghitung interval kepercayaan binomial di R<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara menghitung interval kepercayaan binomial di R, dengan beberapa contoh.\" \/>\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\/id\/interval-kepercayaan-binomial-r\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara menghitung interval kepercayaan binomial di R\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara menghitung interval kepercayaan binomial di R, dengan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/interval-kepercayaan-binomial-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T14:55:46+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/interval-kepercayaan-binomial-r\/\",\"url\":\"https:\/\/statorials.org\/id\/interval-kepercayaan-binomial-r\/\",\"name\":\"Cara menghitung interval kepercayaan binomial di R\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-25T14:55:46+00:00\",\"dateModified\":\"2023-07-25T14:55:46+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara menghitung interval kepercayaan binomial di R, dengan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/interval-kepercayaan-binomial-r\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/interval-kepercayaan-binomial-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/interval-kepercayaan-binomial-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara menghitung interval kepercayaan binomial di r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. 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