{"id":539,"date":"2023-07-29T14:06:35","date_gmt":"2023-07-29T14:06:35","guid":{"rendered":"https:\/\/statorials.org\/tr\/iki-oranli-z-testi-excel\/"},"modified":"2023-07-29T14:06:35","modified_gmt":"2023-07-29T14:06:35","slug":"iki-oranli-z-testi-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/iki-oranli-z-testi-excel\/","title":{"rendered":"Excel'de iki oranl\u0131 z testi nas\u0131l yap\u0131l\u0131r"},"content":{"rendered":"

<\/p>\n

\n

\u0130ki pop\u00fclasyon oran\u0131 aras\u0131ndaki fark\u0131 test etmek i\u00e7in iki oranl\u0131 bir z testi<\/a><\/strong> kullan\u0131l\u0131r.<\/span><\/p>\n

\u00d6rne\u011fin, bir okul b\u00f6lgesi m\u00fcd\u00fcr\u00fcn\u00fcn, okul kafeteryalar\u0131nda \u00e7ikolatal\u0131 s\u00fct\u00fc normal s\u00fcte tercih eden \u00f6\u011frencilerin y\u00fczdesinin Okul 1 ve Okul 2 i\u00e7in ayn\u0131 oldu\u011funu iddia etti\u011fini varsayal\u0131m.<\/span><\/p>\n

Bu iddiay\u0131 test etmek i\u00e7in ba\u011f\u0131ms\u0131z bir ara\u015ft\u0131rmac\u0131, her okuldan 100 \u00f6\u011frenciden olu\u015fan basit rastgele bir \u00f6rnek<\/a> al\u0131r ve onlara tercihlerini sorar. 1. okuldaki \u00f6\u011frencilerin %70’inin \u00e7ikolatal\u0131 s\u00fct\u00fc, 2. okuldaki \u00f6\u011frencilerin ise %68’inin \u00e7ikolatal\u0131 s\u00fct\u00fc tercih etti\u011fini belirtiyor.<\/span><\/p>\n

\u00c7ikolatal\u0131 s\u00fct\u00fc normal s\u00fcte tercih eden \u00f6\u011frencilerin y\u00fczdesinin her iki okulda da ayn\u0131 olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in iki oranl\u0131 z testi kullanabiliriz.<\/span><\/p>\n

\u0130ki \u00d6rnekli Z Testi Ger\u00e7ekle\u015ftirme Ad\u0131mlar\u0131<\/strong><\/span><\/h2>\n

\u0130ki oranl\u0131 z testini ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n

Ad\u0131m 1. Hipotezleri belirtin.<\/strong><\/span><\/p>\n

S\u0131f\u0131r hipotezi (H0): P 1<\/sub> = P 2<\/sub><\/span><\/p>\n

Alternatif hipotez: (Ha): P 1<\/sub> \u2260 P 2<\/sub><\/span><\/p>\n

Ad\u0131m 2. Test istatisti\u011fini ve kar\u015f\u0131l\u0131k gelen p de\u011ferini bulun.<\/strong><\/span><\/p>\n

\u0130lk olarak, havuzlanm\u0131\u015f \u00f6rnek oran\u0131n\u0131 p bulun:<\/span><\/p>\n

p = (p 1<\/sub> * n 1<\/sub> + p 2<\/sub> * n 2<\/sub> ) \/ (n 1<\/sub> + n 2<\/sub> )<\/span><\/p>\n

p = (0,70*100 + 0,68*100) \/ (100 + 100) = 0,69<\/span><\/p>\n

Daha sonra z testi istatisti\u011fini bulmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fclde p’yi kullan\u0131n:<\/span><\/p>\n

z = (p 1<\/sub> -p 2<\/sub> ) \/ \u221ap * (1-p) * [ (1\/n 1<\/sub> ) + (1\/n 2<\/sub> )]<\/span><\/p>\n

z = (.70-.68) \/ \u221a.69 * (1-.69) * [(1\/100) + (1\/100)] = .02 \/ .0654 = .306<\/strong><\/span><\/p>\n

P de\u011ferinin = 0,759<\/strong> oldu\u011funu bulmak i\u00e7in az puan\u0131 0,306 olan P de\u011feri Z puan\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 ve iki kuyruklu testi<\/span> kullan\u0131n<\/span> .<\/p>\n

Ad\u0131m 3. Bo\u015f hipotezi reddedin veya reddetmeyin.<\/strong><\/span><\/p>\n

\u00d6ncelikle test i\u00e7in kullan\u0131lacak bir \u00f6nem d\u00fczeyi se\u00e7memiz gerekiyor. Ortak se\u00e7enekler 0,01, 0,05 ve 0,10’dur. Bu \u00f6rnek i\u00e7in 0,05’i kullanal\u0131m. P de\u011feri bizim anlaml\u0131l\u0131k seviyemiz olan 0,05’ten az olmad\u0131\u011f\u0131 i\u00e7in s\u0131f\u0131r hipotezini reddedemiyoruz.<\/span><\/p>\n

Dolay\u0131s\u0131yla s\u00fct\u00fc \u00e7ikolataya tercih eden \u00f6\u011frencilerin y\u00fczdesinin Okul 1 ve Okul 2 i\u00e7in farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n

Excel’de \u0130ki \u00d6rnekli Z Testi Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/strong><\/span><\/h2>\n

A\u015fa\u011f\u0131daki \u00f6rnekler Excel’de iki \u00f6rnekli z testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6stermektedir.<\/span><\/p>\n

\u0130ki \u00f6rnekli Z testi (iki kuyruklu)<\/span><\/strong><\/h3>\n

Bir okul b\u00f6lgesi m\u00fcd\u00fcr\u00fc, okul kafeteryalar\u0131nda \u00e7ikolatal\u0131 s\u00fct\u00fc normal s\u00fcte tercih eden \u00f6\u011frencilerin y\u00fczdesinin Okul 1 ve Okul 2 i\u00e7in ayn\u0131 oldu\u011funu s\u00f6yl\u00fcyor.<\/span><\/p>\n

Bu iddiay\u0131 test etmek i\u00e7in ba\u011f\u0131ms\u0131z bir ara\u015ft\u0131rmac\u0131, her okuldan 100 \u00f6\u011frenciden olu\u015fan basit rastgele bir \u00f6rnek al\u0131r ve onlara tercihlerini sorar. 1. okuldaki \u00f6\u011frencilerin %70’inin \u00e7ikolatal\u0131 s\u00fct\u00fc, 2. okuldaki \u00f6\u011frencilerin ise %68’inin \u00e7ikolatal\u0131 s\u00fct\u00fc tercih etti\u011fini belirtiyor.<\/span><\/p>\n

Bu sonu\u00e7lara dayanarak, m\u00fcd\u00fcr\u00fcn S\u00fctl\u00fc \u00e7ikolatay\u0131 tercih eden \u00f6\u011frencilerin y\u00fczdesinin Okul 1 ve Okul 2 i\u00e7in ayn\u0131 oldu\u011fu y\u00f6n\u00fcndeki iddias\u0131n\u0131 reddedebilir miyiz? 0,05 anlaml\u0131l\u0131k d\u00fczeyini kullan\u0131n.<\/strong><\/em><\/span><\/p>\n

A\u015fa\u011f\u0131daki ekran g\u00f6r\u00fcnt\u00fcs\u00fc, kullan\u0131lan form\u00fcllerle birlikte Excel’de iki kuyruklu iki \u00f6rnekli z testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n

B1:B4<\/strong> h\u00fccrelerindeki de\u011ferleri doldurmal\u0131s\u0131n\u0131z. Daha sonra B6:B8<\/strong> h\u00fccrelerindeki de\u011ferler , C6:C8<\/strong> h\u00fccrelerinde g\u00f6sterilen form\u00fcller kullan\u0131larak otomatik olarak hesaplan\u0131r.<\/span><\/p>\n

G\u00f6r\u00fcnt\u00fclenen form\u00fcllerin a\u015fa\u011f\u0131dakileri yapt\u0131\u011f\u0131n\u0131 unutmay\u0131n:<\/span><\/p>\n

    \n
  • C6<\/strong> h\u00fccresindeki form\u00fcl: Bu, p =<\/strong> (p 1<\/sub> * n 1<\/sub> + p 2<\/sub> * n 2<\/sub> ) \/ (n 1<\/sub> + n 2<\/sub> )<\/strong> form\u00fcl\u00fcn\u00fc kullanarak havuzlanm\u0131\u015f \u00f6rnek oran\u0131n\u0131 hesaplar.<\/span><\/li>\n
  • C7<\/strong> h\u00fccresindeki form\u00fcl: Bu ,<\/em><\/span> z = (p 1<\/sub> -p 2<\/sub> ) \/ \u221ap * (1-p) * [ (1\/n 1<\/sub> ) + (1\/n 2<\/sub> ) ] form\u00fcl\u00fcn\u00fc kullanarak z testi istatisti\u011fini hesaplar; burada<\/strong> p<\/em> havuzlanm\u0131\u015f numunenin oran\u0131d\u0131r.<\/span><\/li>\n
  • C8<\/strong> h\u00fccresindeki form\u00fcl: Bu, ortalama = 0 ve standart sapma = 1 ile normal da\u011f\u0131l\u0131m i\u00e7in k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131 d\u00f6nd\u00fcren NORM.S.DA\u011e<\/strong> Excel fonksiyonunu kullanarak B7<\/strong> h\u00fccresinde hesaplanan test istatisti\u011fiyle ili\u015fkili p de\u011ferini hesaplar. Bu iki kuyruklu bir test oldu\u011fundan bu de\u011feri ikiyle \u00e7arp\u0131n.<\/span><\/li>\n<\/ul>\n

    P de\u011feri ( 0,759<\/strong> ) se\u00e7ilen anlaml\u0131l\u0131k d\u00fczeyi olan 0,05’ten<\/strong> az olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddetmede ba\u015far\u0131s\u0131z oluyoruz. Dolay\u0131s\u0131yla s\u00fct\u00fc \u00e7ikolataya tercih eden \u00f6\u011frencilerin y\u00fczdesinin Okul 1 ve Okul 2 i\u00e7in farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n

    \u0130ki \u00f6rnekli Z testi (tek kuyruklu)<\/span><\/strong><\/h3>\n

    Bir okul b\u00f6lgesi m\u00fcd\u00fcr\u00fc, 1. okuldaki \u00e7ikolatal\u0131 s\u00fct\u00fc normal s\u00fcte tercih eden \u00f6\u011frencilerin y\u00fczdesinin, 2. okuldaki y\u00fczdeden daha az veya ona e\u015fit<\/strong> oldu\u011funu s\u00f6yl\u00fcyor.<\/span><\/p>\n

    Bu iddiay\u0131 test etmek i\u00e7in ba\u011f\u0131ms\u0131z bir ara\u015ft\u0131rmac\u0131, her okuldan 100 \u00f6\u011frenciden olu\u015fan basit rastgele bir \u00f6rnek al\u0131r ve onlara tercihlerini sorar. 1. okuldaki \u00f6\u011frencilerin %70’inin \u00e7ikolatal\u0131 s\u00fct\u00fc, 2. okuldaki \u00f6\u011frencilerin ise %68’inin \u00e7ikolatal\u0131 s\u00fct\u00fc tercih etti\u011fini belirtiyor.<\/span><\/p>\n

    Bu sonu\u00e7lar \u0131\u015f\u0131\u011f\u0131nda, m\u00fcfetti\u015fin Okul 1’de \u00e7ikolatal\u0131 s\u00fct\u00fc tercih eden \u00f6\u011frencilerin y\u00fczdesinin Okul 2’dekine e\u015fit veya daha az oldu\u011fu y\u00f6n\u00fcndeki iddias\u0131n\u0131 reddedebilir miyiz? 0,05 anlaml\u0131l\u0131k d\u00fczeyini kullan\u0131n.<\/strong><\/em><\/span><\/p>\n

    A\u015fa\u011f\u0131daki ekran g\u00f6r\u00fcnt\u00fcs\u00fc, kullan\u0131lan form\u00fcllerle birlikte Excel’de tek kuyruklu iki \u00f6rnekli z testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n

    B1:B4<\/strong> h\u00fccrelerindeki de\u011ferleri doldurmal\u0131s\u0131n\u0131z. Daha sonra B6:B8<\/strong> h\u00fccrelerindeki de\u011ferler , C6:C8<\/strong> h\u00fccrelerinde g\u00f6sterilen form\u00fcller kullan\u0131larak otomatik olarak hesaplan\u0131r.<\/span><\/p>\n

    G\u00f6r\u00fcnt\u00fclenen form\u00fcllerin a\u015fa\u011f\u0131dakileri yapt\u0131\u011f\u0131n\u0131 unutmay\u0131n:<\/span><\/p>\n

      \n
    • C6<\/strong> h\u00fccresindeki form\u00fcl: Bu, p =<\/strong> (p 1<\/sub> * n 1<\/sub> + p 2<\/sub> * n 2<\/sub> ) \/ (n 1<\/sub> + n 2<\/sub> )<\/strong> form\u00fcl\u00fcn\u00fc kullanarak havuzlanm\u0131\u015f \u00f6rnek oran\u0131n\u0131 hesaplar.<\/span><\/li>\n
    • C7<\/strong> h\u00fccresindeki form\u00fcl: Bu, z = (p 1<\/sub> -p 2<\/sub> ) \/ \u221ap * (1-p) * [ (1\/n 1<\/sub> ) + (1\/n 2<\/sub> ) ] form\u00fcl\u00fcn\u00fc kullanarak z testi istatisti\u011fini hesaplar;<\/strong> burada<\/em> p<\/em> havuzlanm\u0131\u015f numunenin oran\u0131d\u0131r.<\/span><\/li>\n
    • C8<\/strong> h\u00fccresindeki form\u00fcl: Bu, ortalama = 0 ve standart sapma = 1 ile normal da\u011f\u0131l\u0131m\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131n\u0131 d\u00f6nd\u00fcren NORM.S.DA\u011e<\/strong> Excel i\u015flevini kullanarak B7<\/strong> h\u00fccresinde hesaplanan test istatisti\u011fiyle ili\u015fkili p de\u011ferini hesaplar.<\/span><\/li>\n<\/ul>\n

      P de\u011feri ( 0,379<\/strong> ) se\u00e7ilen anlaml\u0131l\u0131k d\u00fczeyi olan 0,05’ten<\/strong> az olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddetmede ba\u015far\u0131s\u0131z oluyoruz. Dolay\u0131s\u0131yla 2. okulda \u00e7ikolatal\u0131 s\u00fct\u00fc tercih eden \u00f6\u011frencilerin y\u00fczdesinin 1. okuldakinden daha y\u00fcksek oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

      \u0130ki pop\u00fclasyon oran\u0131 aras\u0131ndaki fark\u0131 test etmek i\u00e7in iki oranl\u0131 bir z testi kullan\u0131l\u0131r. \u00d6rne\u011fin, bir okul b\u00f6lgesi m\u00fcd\u00fcr\u00fcn\u00fcn, okul kafeteryalar\u0131nda \u00e7ikolatal\u0131 s\u00fct\u00fc normal s\u00fcte tercih eden \u00f6\u011frencilerin y\u00fczdesinin Okul 1 ve Okul 2 i\u00e7in ayn\u0131 oldu\u011funu iddia etti\u011fini varsayal\u0131m. Bu iddiay\u0131 test etmek i\u00e7in ba\u011f\u0131ms\u0131z bir ara\u015ft\u0131rmac\u0131, her okuldan 100 \u00f6\u011frenciden olu\u015fan basit rastgele […]<\/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-539","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nExcel'de iki oranl\u0131 Z testi nas\u0131l yap\u0131l\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Excel'de iki \u00f6rnekli oran Z testinin nas\u0131l kolayca ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/iki-oranli-z-testi-excel\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Excel'de iki oranl\u0131 Z testi nas\u0131l yap\u0131l\u0131r - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde Excel'de iki \u00f6rnekli oran Z testinin nas\u0131l kolayca ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/iki-oranli-z-testi-excel\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T14:06:35+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=\"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=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/iki-oranli-z-testi-excel\/\",\"url\":\"https:\/\/statorials.org\/tr\/iki-oranli-z-testi-excel\/\",\"name\":\"Excel'de iki oranl\u0131 Z testi nas\u0131l yap\u0131l\u0131r - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T14:06:35+00:00\",\"dateModified\":\"2023-07-29T14:06:35+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde Excel'de iki \u00f6rnekli oran Z testinin nas\u0131l kolayca ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/iki-oranli-z-testi-excel\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/iki-oranli-z-testi-excel\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/iki-oranli-z-testi-excel\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Excel'de iki oranl\u0131 z testi nas\u0131l yap\u0131l\u0131r\"}]},{\"@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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