{"id":1676,"date":"2023-07-25T10:29:02","date_gmt":"2023-07-25T10:29:02","guid":{"rendered":"https:\/\/statorials.org\/id\/margin-kesalahan-vs-interval-kepercayaan\/"},"modified":"2023-07-25T10:29:02","modified_gmt":"2023-07-25T10:29:02","slug":"margin-kesalahan-vs-interval-kepercayaan","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/margin-kesalahan-vs-interval-kepercayaan\/","title":{"rendered":"Margin kesalahan dan interval kepercayaan: apa bedanya?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Seringkali dalam statistik kita menggunakan interval kepercayaan untuk memperkirakan nilai suatu <a href=\"https:\/\/statorials.org\/id\/statistik-vs-parameter\/\" target=\"_blank\" rel=\"noopener\">parameter populasi<\/a> dengan tingkat kepercayaan tertentu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Setiap interval kepercayaan mempunyai bentuk sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Interval kepercayaan = [batas bawah, batas atas]<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Margin kesalahan<\/strong> sama dengan setengah lebar seluruh selang kepercayaan.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, kita mempunyai interval kepercayaan berikut untuk rata-rata populasi:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Interval kepercayaan 95% = [12,5, 18,5]<\/span><\/p>\n<p> <span style=\"color: #000000;\">Lebar selang kepercayaan adalah 18,5 \u2013 12,5 = 6.<\/span> <span style=\"color: #000000;\">Margin kesalahannya adalah setengah lebarnya, yaitu 6\/2 = <strong>3<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara menghitung interval kepercayaan dan margin kesalahan untuk beberapa skenario berbeda.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 1: Interval kepercayaan dan margin kesalahan rata-rata populasi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kami menggunakan rumus berikut untuk menghitung interval kepercayaan untuk rata-rata populasi:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Interval kepercayaan = <span style=\"text-decoration: overline;\">x<\/span> +\/- z*(s\/\u221a <span style=\"border-top: 1px solid black;\">n<\/span> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong> mean sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>z :<\/strong> nilai kritis z<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> deviasi standar sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> ukuran sampel<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Contoh:<\/strong> Misalkan kita mengumpulkan sampel lumba-lumba secara acak dengan informasi berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ukuran sampel <strong>n = 40<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Rata-rata berat sampel <strong><span style=\"text-decoration: overline;\">x<\/span> = 300<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Simpangan baku sampel <strong>s = 18,5<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Kita dapat memasukkan angka-angka ini ke dalam <a href=\"https:\/\/statorials.org\/id\/berarti-kalkulator-interval-kepercayaan\/\" target=\"_blank\" rel=\"noopener\">kalkulator interval kepercayaan<\/a> untuk mencari interval kepercayaan 95%:<\/span><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16510 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mar1.png\" alt=\"\" width=\"352\" height=\"439\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Interval kepercayaan 95% untuk rata-rata bobot populasi penyu sebenarnya adalah <strong>[294.267, 305.733]<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Margin kesalahannya sama dengan setengah lebar selang kepercayaan, yaitu:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Margin kesalahan: (305.733 \u2013 294.267) \/ 2 = <strong>5.733<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 2: Interval kepercayaan dan margin kesalahan untuk proporsi populasi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kami menggunakan rumus berikut untuk menghitung interval kepercayaan untuk proporsi populasi:<\/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 sampel<\/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;\"><strong>Contoh:<\/strong> Misalkan kita ingin memperkirakan proporsi penduduk di suatu daerah yang mendukung undang-undang tertentu. Kami memilih sampel acak sebanyak 100 warga dan menanyakan posisi mereka terhadap hukum. Berikut hasilnya:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ukuran sampel <strong>n = 100<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Proporsi yang mendukung hukum <strong>p = 0,56<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kita dapat memasukkan angka-angka ini ke dalam <a href=\"https:\/\/statorials.org\/id\/kalkulator-proporsi-interval-kepercayaan\/\" target=\"_blank\" rel=\"noopener\">interval kepercayaan kalkulator proporsi<\/a> untuk mencari interval kepercayaan 95%:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16513 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mar2.png\" alt=\"\" width=\"365\" height=\"384\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Interval kepercayaan 95% untuk proporsi populasi sebenarnya adalah <strong>[0.4627, 0.6573]<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Margin kesalahannya sama dengan setengah lebar selang kepercayaan, yaitu:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Margin kesalahan: (.6573 \u2013 .4627) \/ 2 = <strong>.0973<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/margin-of-error-vs-standard-error-apa-bedanya\/\" target=\"_blank\" rel=\"noopener\">Margin of error versus standard error: apa bedanya?<\/a><br \/> Bagaimana menemukan margin kesalahan di excel<br \/> <a href=\"https:\/\/statorials.org\/id\/margin-kesalahan-ti-84\/\" target=\"_blank\" rel=\"noopener\">Cara Menemukan Margin of Error pada Kalkulator TI-84<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Seringkali dalam statistik kita menggunakan interval kepercayaan untuk memperkirakan nilai suatu parameter populasi dengan tingkat kepercayaan tertentu. Setiap interval kepercayaan mempunyai bentuk sebagai berikut: Interval kepercayaan = [batas bawah, batas atas] Margin kesalahan sama dengan setengah lebar seluruh selang kepercayaan. Misalnya, kita mempunyai interval kepercayaan berikut untuk rata-rata populasi: Interval kepercayaan 95% = [12,5, 18,5] [&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>Margin kesalahan dan interval kepercayaan: apa bedanya?<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan perbedaan antara margin kesalahan dan interval kepercayaan, beserta contohnya.\" \/>\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\/margin-kesalahan-vs-interval-kepercayaan\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Margin kesalahan dan interval kepercayaan: apa bedanya?\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan perbedaan antara margin kesalahan dan interval kepercayaan, beserta contohnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/margin-kesalahan-vs-interval-kepercayaan\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T10:29:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mar1.png\" \/>\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=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/margin-kesalahan-vs-interval-kepercayaan\/\",\"url\":\"https:\/\/statorials.org\/id\/margin-kesalahan-vs-interval-kepercayaan\/\",\"name\":\"Margin kesalahan dan interval kepercayaan: apa bedanya?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-25T10:29:02+00:00\",\"dateModified\":\"2023-07-25T10:29:02+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan perbedaan antara margin kesalahan dan interval kepercayaan, beserta contohnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/margin-kesalahan-vs-interval-kepercayaan\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/margin-kesalahan-vs-interval-kepercayaan\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/margin-kesalahan-vs-interval-kepercayaan\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Margin kesalahan dan interval kepercayaan: apa bedanya?\"}]},{\"@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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