{"id":1126,"date":"2023-07-27T14:12:31","date_gmt":"2023-07-27T14:12:31","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-bir-oranti-z-testi\/"},"modified":"2023-07-27T14:12:31","modified_gmt":"2023-07-27T14:12:31","slug":"rde-bir-oranti-z-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-bir-oranti-z-testi\/","title":{"rendered":"R&#39;de one-prop z testi nas\u0131l yap\u0131l\u0131r (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">G\u00f6zlenen bir oran\u0131 teorik bir oranla kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/oranti-z-testi\/\" target=\"_blank\" rel=\"noopener noreferrer\">tek oranl\u0131 z testi<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test a\u015fa\u011f\u0131daki bo\u015f hipotezleri kullan\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> p = p <sub>0<\/sub> (n\u00fcfusun oran\u0131 varsay\u0131msal p <sub>0<\/sub> oran\u0131na e\u015fittir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Alternatif hipotez iki tarafl\u0131, sol veya sa\u011f olabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (iki kuyruklu):<\/strong> p \u2260 p <sub>0<\/sub> (n\u00fcfus oran\u0131 varsay\u0131msal bir p <sub>0<\/sub> de\u011ferine e\u015fit de\u011fildir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (solda):<\/strong> p &lt; p <sub>0<\/sub> (n\u00fcfus oran\u0131 varsay\u0131msal bir p <sub>0<\/sub> de\u011ferinden azd\u0131r)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (sa\u011f):<\/strong> p &gt; p <sub>0<\/sub> (n\u00fcfus oran\u0131 varsay\u0131msal bir de\u011fer olan p <sub>0&#8217;dan<\/sub> b\u00fcy\u00fckt\u00fcr)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fi \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">z = (pp <sub>0<\/sub> ) \/ \u221a <span style=\"border-top: 1px solid black;\">p <sub>0<\/sub> (1-p <sub>0<\/sub> )\/n<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> g\u00f6zlemlenen \u00f6rnek oran\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p <sub>0<\/sub> :<\/strong> n\u00fcfusun varsay\u0131msal oran\u0131<\/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;\">Z testi istatisti\u011fine kar\u015f\u0131l\u0131k gelen p de\u011feri se\u00e7ilen anlaml\u0131l\u0131k seviyesinden k\u00fc\u00e7\u00fckse (ortak se\u00e7enekler 0,10, 0,05 ve 0,01&#8217;dir), o zaman s\u0131f\u0131r hipotezini reddedebilirsiniz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R&#8217;de Bir Oranl\u0131 Z Testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;deki bir oranda z testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki i\u015flevlerden birini kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>E\u011fer n \u2264 30 ise:<\/strong> binom.test(x, n, p = 0,5, alternatif = \u201cbilateral\u201d)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>E\u011fer n&gt; 30 ise:<\/strong> prop.test(x, n, p = 0,5, alternatif = \u201ciki taraf\u201d, do\u011fru=DO\u011eRU)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> Ba\u015far\u0131lar\u0131n say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Deneme say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> N\u00fcfusun varsay\u0131msal oran\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>alternatif:<\/strong> alternatif hipotez<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>do\u011fru:<\/strong> Yates&#8217;in s\u00fcreklilik d\u00fczeltmesinin uygulan\u0131p uygulanmayaca\u011f\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, R&#8217;de tek oranl\u0131 z testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de Tek Oranl\u0131 Z Testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir il\u00e7ede belirli bir yasay\u0131 destekleyen sakinlerin oran\u0131n\u0131n %60&#8217;a e\u015fit olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Bunu test etmek i\u00e7in rastgele bir \u00f6rnek \u00fczerinde a\u015fa\u011f\u0131daki verileri topluyoruz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p <sub>0<\/sub> :<\/strong> n\u00fcfusun varsay\u0131msal oran\u0131 = 0,60<\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>x:<\/b> yasadan yana olan sakinler: 64<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc = 100<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rnek boyutumuz 30&#8217;dan b\u00fcy\u00fck oldu\u011fundan tek \u00f6rnekli z testi ger\u00e7ekle\u015ftirmek i\u00e7in <strong>prop.test()<\/strong> i\u015flevini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>prop.test(x=64, n=100, p=0.60, alternative=\" <span style=\"color: #008000;\">two.sided<\/span> \")\n\n\n\t1-sample proportions test with continuity correction\n\ndata: 64 out of 100, null probability 0.6\nX-squared = 0.51042, df = 1, p-value = 0.475\nalternative hypothesis: true p is not equal to 0.6\n95 percent confidence interval:\n 0.5372745 0.7318279\nsample estimates:\n   p \n0.64<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan p de\u011ferinin <strong>0,475<\/strong> oldu\u011funu g\u00f6rebiliriz. Bu de\u011fer \u03b1 = 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131 i\u00e7in s\u0131f\u0131r hipotezini reddedemiyoruz. Yasay\u0131 destekleyenlerin oran\u0131n\u0131n 0,60&#8217;tan farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yasay\u0131 destekleyen il\u00e7e sakinlerinin ger\u00e7ek oran\u0131na ili\u015fkin %95 g\u00fcven aral\u0131\u011f\u0131 da \u015fu \u015fekildedir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>%95 GA = [0,5373, 7318]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu g\u00fcven aral\u0131\u011f\u0131 <strong>0,60<\/strong> oran\u0131n\u0131 i\u00e7erdi\u011finden yasay\u0131 destekleyen sakinlerin ger\u00e7ek oran\u0131n\u0131n 0,60&#8217;tan farkl\u0131 oldu\u011funa dair hi\u00e7bir kan\u0131t\u0131m\u0131z yok. Bu, yaln\u0131zca testin p de\u011ferini kullanarak ula\u015ft\u0131\u011f\u0131m\u0131z sonu\u00e7la e\u015fle\u015fiyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/oranti-z-testi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Tek Oranl\u0131 Z Testine Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/a-z-testi-oranti-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Tek Oranl\u0131 Z Testi Hesaplay\u0131c\u0131s\u0131<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/oranti-z-testi-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel&#8217;de Tek Oranl\u0131 Z Testi Nas\u0131l Yap\u0131l\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>G\u00f6zlenen bir oran\u0131 teorik bir oranla kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in tek oranl\u0131 z testi kullan\u0131l\u0131r. Bu test a\u015fa\u011f\u0131daki bo\u015f hipotezleri kullan\u0131r: H 0 : p = p 0 (n\u00fcfusun oran\u0131 varsay\u0131msal p 0 oran\u0131na e\u015fittir) Alternatif hipotez iki tarafl\u0131, sol veya sa\u011f olabilir: H 1 (iki kuyruklu): p \u2260 p 0 (n\u00fcfus oran\u0131 varsay\u0131msal bir p 0 [&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-1126","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>R&#039;de One-Prop Z Testi Nas\u0131l Yap\u0131l\u0131r (\u00d6rneklerle)<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;de tek oranl\u0131 Z testinin nas\u0131l hesaplanaca\u011f\u0131 birka\u00e7 \u00f6rnekle 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