{"id":734,"date":"2023-07-28T22:52:28","date_gmt":"2023-07-28T22:52:28","guid":{"rendered":"https:\/\/statorials.org\/tr\/guven-araligi-orani\/"},"modified":"2023-07-28T22:52:28","modified_gmt":"2023-07-28T22:52:28","slug":"guven-araligi-orani","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/guven-araligi-orani\/","title":{"rendered":"Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Bir orana ili\u015fkin g\u00fcven aral\u0131\u011f\u0131,<\/strong> belirli bir g\u00fcven d\u00fczeyine sahip bir n\u00fcfus oran\u0131n\u0131 i\u00e7ermesi muhtemel bir de\u011fer aral\u0131\u011f\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde a\u015fa\u011f\u0131dakiler a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 olu\u015fturma motivasyonu.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 olu\u015fturma form\u00fcl\u00fc.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnek.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 nas\u0131l yorumlan\u0131r?<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131: motivasyon<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir oran i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/guvenilirlik-araligi\/\" target=\"_blank\" rel=\"noopener\">g\u00fcven aral\u0131\u011f\u0131<\/a> olu\u015fturmam\u0131z\u0131n nedeni, n\u00fcfus oran\u0131n\u0131 tahmin ederken belirsizli\u011fimizi yakalamakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir il\u00e7ede belirli bir yasay\u0131 destekleyen insanlar\u0131n oran\u0131n\u0131 tahmin etmek istedi\u011fimizi varsayal\u0131m. \u0130l\u00e7ede binlerce sakin bulundu\u011fundan, etrafta dola\u015f\u0131p her sakine kanunla ilgili g\u00f6r\u00fc\u015flerini sormak \u00e7ok maliyetli ve zaman al\u0131c\u0131 olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunun yerine, sakinlerden <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">basit ve rastgele bir \u00f6rneklem<\/a> se\u00e7ip her birine yasay\u0131 destekleyip desteklemediklerini sorabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7603\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ciprop1.png\" alt=\"N\u00fcfus oran\u0131n\u0131 tahmin etme \u00f6rne\u011fi\" width=\"429\" height=\"400\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Sakinlerden rastgele bir \u00f6rneklem se\u00e7ti\u011fimiz i\u00e7in, \u00f6rneklemdeki yasay\u0131 destekleyen sakinlerin oran\u0131n\u0131n t\u00fcm il\u00e7ede yasay\u0131 destekleyen sakinlerin oran\u0131yla tam olarak e\u015fle\u015fece\u011finin garantisi yoktur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla, bu belirsizli\u011fi yakalamak i\u00e7in t\u00fcm il\u00e7ede yasay\u0131 destekleyen sakinlerin ger\u00e7ek oran\u0131n\u0131 i\u00e7ermesi muhtemel bir dizi de\u011fer i\u00e7eren bir g\u00fcven aral\u0131\u011f\u0131 olu\u015fturabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131: form\u00fcl<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">N\u00fcfus oran\u0131na ili\u015fkin g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven aral\u0131\u011f\u0131 = p<\/strong> <strong>+\/- z*\u221a <span style=\"text-decoration: overline;\">p(1-p) \/ n<\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> \u00f6rnek oran\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>z:<\/strong> se\u00e7ilen z de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kulland\u0131\u011f\u0131n\u0131z z de\u011feri se\u00e7ti\u011finiz g\u00fcven d\u00fczeyine ba\u011fl\u0131d\u0131r. A\u015fa\u011f\u0131daki tabloda en yayg\u0131n g\u00fcven d\u00fczeyi se\u00e7eneklerine kar\u015f\u0131l\u0131k gelen z de\u011feri g\u00f6sterilmektedir:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Bir g\u00fcven d\u00fczeyi<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>z de\u011feri<\/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 style=\"text-align: left;\"> <span style=\"color: #000000;\">Daha y\u00fcksek g\u00fcven d\u00fczeylerinin daha b\u00fcy\u00fck z de\u011ferlerine kar\u015f\u0131l\u0131k geldi\u011fini ve bunun da daha geni\u015f g\u00fcven aral\u0131klar\u0131na yol a\u00e7t\u0131\u011f\u0131n\u0131 unutmay\u0131n.<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\">Bu, \u00f6rne\u011fin ayn\u0131 veri seti i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131n\u0131n %90 g\u00fcven aral\u0131\u011f\u0131ndan daha geni\u015f olaca\u011f\u0131 anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong><\/span> <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener\">\u0130yi bir g\u00fcven aral\u0131\u011f\u0131 nedir?<\/a><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131: \u00f6rnek<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir il\u00e7ede belirli bir yasay\u0131 destekleyen sakinlerin oran\u0131n\u0131 tahmin etmek istedi\u011fimizi varsayal\u0131m. 100 sakinden rastgele bir \u00f6rnek se\u00e7iyoruz ve onlara yasadaki konumlar\u0131n\u0131n ne oldu\u011funu soruyoruz. Sonu\u00e7lar burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc <strong>n = 100<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Kanun lehine oran <strong>p = 0,56<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">N\u00fcfus oran\u0131 i\u00e7in farkl\u0131 g\u00fcven aral\u0131klar\u0131n\u0131 nas\u0131l bulaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>%90 g\u00fcven aral\u0131\u011f\u0131:<\/strong> 0,56 +\/- 1,645*(\u221a <span style=\"text-decoration: overline;\">0,56(1-0,56) \/ 100<\/span> ) = <strong>[0,478, 0,642]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>%95 g\u00fcven aral\u0131\u011f\u0131:<\/strong> 0,56 +\/- 1,96*(\u221a <span style=\"text-decoration: overline;\">0,56(1-0,56) \/ 100<\/span> ) = <strong>[0,463, 0,657]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>%99 g\u00fcven aral\u0131\u011f\u0131:<\/strong> 0,56 +\/- 2,58*(\u221a <span style=\"text-decoration: overline;\">0,56(1-0,56) \/ 100<\/span> ) = <strong>[0,432, 0,688]<\/strong><\/span><\/p>\n<p> <em><span style=\"color: #000000;\"><strong>Not:<\/strong> Bu g\u00fcven aral\u0131klar\u0131n\u0131 <a href=\"https:\/\/statorials.org\/tr\/guven-araligi-oran-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Oran Hesaplay\u0131c\u0131 i\u00e7in G\u00fcven Aral\u0131\u011f\u0131&#8217;n\u0131<\/a> kullanarak da bulabilirsiniz.<\/span><\/em><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131: yorumlama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir g\u00fcven aral\u0131\u011f\u0131n\u0131 yorumlama \u015feklimiz \u015fu \u015fekildedir:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\">[0,463, 0,657] g\u00fcven aral\u0131\u011f\u0131n\u0131n bu yasay\u0131 destekleyen sakinlerin ger\u00e7ek oran\u0131n\u0131 i\u00e7erme olas\u0131l\u0131\u011f\u0131 %95&#8217;tir.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Ayn\u0131 \u015feyi s\u00f6ylemenin bir ba\u015fka yolu da, n\u00fcfusun ger\u00e7ek oran\u0131n\u0131n %95 g\u00fcven aral\u0131\u011f\u0131n\u0131n d\u0131\u015f\u0131nda kalma ihtimalinin yaln\u0131zca %5 oldu\u011fudur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani yasay\u0131 destekleyen il\u00e7e sakinlerinin ger\u00e7ek oran\u0131n\u0131n y\u00fczde 46,3&#8217;ten az ya da y\u00fczde 65,7&#8217;den fazla olma ihtimali yaln\u0131zca y\u00fczde 5&#8217;tir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir orana ili\u015fkin g\u00fcven aral\u0131\u011f\u0131, belirli bir g\u00fcven d\u00fczeyine sahip bir n\u00fcfus oran\u0131n\u0131 i\u00e7ermesi muhtemel bir de\u011fer aral\u0131\u011f\u0131d\u0131r. Bu e\u011fitimde a\u015fa\u011f\u0131dakiler a\u00e7\u0131klanmaktad\u0131r: Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 olu\u015fturma motivasyonu. Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 olu\u015fturma form\u00fcl\u00fc. Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnek. Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 nas\u0131l yorumlan\u0131r? Bir orant\u0131 [&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-734","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 \u2013 Statorials<\/title>\n<meta name=\"description\" content=\"N\u00fcfus oran\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l ve neden olu\u015fturulaca\u011f\u0131na ili\u015fkin basit bir a\u00e7\u0131klama.\" \/>\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\/tr\/guven-araligi-orani\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 \u2013 Statorials\" \/>\n<meta property=\"og:description\" content=\"N\u00fcfus oran\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l ve neden olu\u015fturulaca\u011f\u0131na ili\u015fkin basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/guven-araligi-orani\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T22:52:28+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ciprop1.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/guven-araligi-orani\/\",\"url\":\"https:\/\/statorials.org\/tr\/guven-araligi-orani\/\",\"name\":\"Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 \u2013 Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T22:52:28+00:00\",\"dateModified\":\"2023-07-28T22:52:28+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"N\u00fcfus oran\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l ve neden olu\u015fturulaca\u011f\u0131na ili\u015fkin basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/guven-araligi-orani\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/guven-araligi-orani\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/guven-araligi-orani\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bir orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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