{"id":3267,"date":"2023-07-18T09:25:31","date_gmt":"2023-07-18T09:25:31","guid":{"rendered":"https:\/\/statorials.org\/tr\/tek-tarafli-test-ornegi-problemleri\/"},"modified":"2023-07-18T09:25:31","modified_gmt":"2023-07-18T09:25:31","slug":"tek-tarafli-test-ornegi-problemleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/tek-tarafli-test-ornegi-problemleri\/","title":{"rendered":"Tek tarafl\u0131 hipotez testi: 3 \u00f6rnek problem"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte, bir <a href=\"https:\/\/statorials.org\/tr\/istatistik-ve-parametre\/\" target=\"_blank\" rel=\"noopener\">pop\u00fclasyon parametresi<\/a> hakk\u0131ndaki bir ifadenin do\u011fru olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener\">hipotez testini<\/a> kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ne zaman bir hipotez testi yapsak, her zaman bir s\u0131f\u0131r hipotezi ve bir alternatif hipotez yazar\u0131z; bunlar a\u015fa\u011f\u0131daki bi\u00e7imleri al\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> (s\u0131f\u0131r hipotezi): pop\u00fclasyon parametresi = \u2264, \u2265 belirli bir de\u011fer<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> (alternatif hipotez): pop\u00fclasyon parametresi &lt;, &gt;, \u2260 belirli bir de\u011fer<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki t\u00fcr hipotez testi vard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u0130ki kuyruklu test<\/strong> : alternatif hipotez <strong>\u2260<\/strong> i\u015faretini i\u00e7erir<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Tek tarafl\u0131 test<\/strong> : alternatif hipotezde <strong>&lt;<\/strong> veya <strong>&gt;<\/strong> i\u015fareti bulunur<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Tek kuyruklu bir testte<\/strong> , alternatif hipotez k\u00fc\u00e7\u00fckt\u00fcr (&#8220;&lt;&#8220;) veya b\u00fcy\u00fckt\u00fcr (&#8220;&gt;&#8221;) i\u015faretini i\u00e7erir. Bu da olumlu ya da olumsuz bir etkinin olup olmad\u0131\u011f\u0131n\u0131 test etti\u011fimizi g\u00f6steriyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tek tarafl\u0131 testi daha iyi anlamak i\u00e7in a\u015fa\u011f\u0131daki \u00f6rnek problemleri inceleyin.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Fabrika Widget&#8217;lar\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir fabrikada \u00fcretilen belirli bir aletin ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 20 gram oldu\u011funu varsayal\u0131m. Ancak bir m\u00fchendis, yeni bir y\u00f6ntemin 20 gramdan daha hafif aletler \u00fcretebilece\u011fine inan\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezlerle tek tarafl\u0131 bir hipotez testi yapabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> (s\u0131f\u0131r hipotezi): \u03bc \u2265 20 gram<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>HA<\/sub><\/strong> (alternatif hipotez): \u03bc &lt; 20 gram<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : Alternatif hipotezin k\u00fc\u00e7\u00fck ( <strong>&lt;<\/strong> ) i\u015faretini i\u00e7ermesi nedeniyle bunun tek kuyruklu bir test oldu\u011funu s\u00f6yleyebiliriz. Daha do\u011frusu buna sol test diyebiliriz \u00e7\u00fcnk\u00fc bir pop\u00fclasyon parametresinin belirli bir de\u011ferden k\u00fc\u00e7\u00fck olup olmad\u0131\u011f\u0131n\u0131 test ediyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in 20 widget \u00fcretmek \u00fczere yeni y\u00f6ntemi kullan\u0131yor ve a\u015fa\u011f\u0131daki bilgileri al\u0131yor:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">n = <b>20<\/b> widget<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"border-top: 1px solid black;\">x<\/span> = <b>19,8<\/b> gram<\/span><\/li>\n<li> <span style=\"color: #000000;\">s = <strong>3,1<\/strong> gram<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu de\u011ferleri<a href=\"https:\/\/statorials.org\/tr\/ornek-bir-t-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">tek \u00f6rnekli t testi hesaplay\u0131c\u0131s\u0131na<\/a> takt\u0131\u011f\u0131m\u0131zda a\u015fa\u011f\u0131daki sonu\u00e7lar\u0131 elde ederiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">t-testi istatisti\u011fi: <strong>-0,288525<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Tek tarafl\u0131 p de\u011feri: <strong>0,388<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">P de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan m\u00fchendis s\u0131f\u0131r hipotezini reddetmede ba\u015far\u0131s\u0131z olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yeni y\u00f6ntemle \u00fcretilen aletlerin ger\u00e7ek ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 20 gramdan az oldu\u011funu s\u00f6ylemek i\u00e7in yeterli kan\u0131t yok.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Bitki B\u00fcy\u00fcmesi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Standart bir g\u00fcbrenin bir bitki t\u00fcr\u00fcn\u00fc ortalama 10 in\u00e7 b\u00fcy\u00fctt\u00fc\u011f\u00fcn\u00fcn g\u00f6sterildi\u011fini varsayal\u0131m. Ancak bir botanik\u00e7i, yeni bir g\u00fcbrenin bu bitki t\u00fcr\u00fcn\u00fc ortalama 10 in\u00e7ten fazla b\u00fcy\u00fctebilece\u011fine inan\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezlerle tek tarafl\u0131 bir hipotez testi yapabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> (s\u0131f\u0131r hipotezi): \u03bc \u2264 10 in\u00e7<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>HA<\/sub><\/strong> (alternatif hipotez): \u03bc &gt; 10 in\u00e7<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : Bunun tek y\u00f6nl\u00fc bir test oldu\u011funu s\u00f6yleyebiliriz \u00e7\u00fcnk\u00fc alternatif hipotez b\u00fcy\u00fckt\u00fcr i\u015faretini ( <strong>&gt;<\/strong> ) i\u00e7ermektedir. Daha do\u011frusu buna sa\u011f el testi diyebiliriz \u00e7\u00fcnk\u00fc bir pop\u00fclasyon parametresinin belirli bir de\u011ferden b\u00fcy\u00fck olup olmad\u0131\u011f\u0131n\u0131 test ediyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu iddiay\u0131 test etmek i\u00e7in yeni g\u00fcbreyi 15 bitkiden olu\u015fan basit rastgele bir numuneye uyguluyor ve a\u015fa\u011f\u0131daki bilgileri elde ediyor:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">n = <strong>15<\/strong> bitki<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"border-top: 1px solid black;\">x<\/span> = <strong>11,4<\/strong> in\u00e7<\/span><\/li>\n<li> <span style=\"color: #000000;\">s = <strong>2,5<\/strong> in\u00e7<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu de\u011ferleri<a href=\"https:\/\/statorials.org\/tr\/ornek-bir-t-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">tek \u00f6rnekli t testi hesaplay\u0131c\u0131s\u0131na<\/a> takt\u0131\u011f\u0131m\u0131zda a\u015fa\u011f\u0131daki sonu\u00e7lar\u0131 elde ederiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">t-testi istatisti\u011fi: <strong>2,1689<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Tek tarafl\u0131 p de\u011feri: <strong>0,0239<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">P de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan botanik\u00e7i s\u0131f\u0131r hipotezini reddeder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yeni g\u00fcbrenin ortalama 10 in\u00e7ten fazla bir art\u0131\u015fa neden oldu\u011fu sonucuna varmak i\u00e7in yeterli kan\u0131t\u0131 var.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: \u00c7al\u0131\u015fma y\u00f6ntemi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir profes\u00f6r \u015fu anda \u00f6\u011frencilerine ortalama 82 s\u0131nav puan\u0131yla sonu\u00e7lanan bir \u00e7al\u0131\u015fma y\u00f6ntemini kullanmay\u0131 \u00f6\u011fretiyor. Ancak yeni bir \u00e7al\u0131\u015fma y\u00f6nteminin 82&#8217;den daha y\u00fcksek ortalama de\u011fere sahip s\u0131nav puanlar\u0131 \u00fcretebilece\u011fine inan\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezlerle tek tarafl\u0131 bir hipotez testi yapabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> (s\u0131f\u0131r hipotezi): \u03bc \u2264 82<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>HA<\/sub><\/strong> (alternatif hipotez): \u03bc &gt; 82<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : Bunun tek y\u00f6nl\u00fc bir test oldu\u011funu s\u00f6yleyebiliriz \u00e7\u00fcnk\u00fc alternatif hipotez b\u00fcy\u00fckt\u00fcr i\u015faretini ( <strong>&gt;<\/strong> ) i\u00e7ermektedir. Daha do\u011frusu buna sa\u011f el testi diyebiliriz \u00e7\u00fcnk\u00fc bir pop\u00fclasyon parametresinin belirli bir de\u011ferden b\u00fcy\u00fck olup olmad\u0131\u011f\u0131n\u0131 test ediyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu iddiay\u0131 test etmek i\u00e7in profes\u00f6r, 25 \u00f6\u011frenciden yeni \u00e7al\u0131\u015fma y\u00f6ntemini kullanmalar\u0131n\u0131 ve ard\u0131ndan s\u0131nava girmelerini ister. Bu \u00f6\u011frenci \u00f6rne\u011finin s\u0131nav sonu\u00e7lar\u0131na ili\u015fkin a\u015fa\u011f\u0131daki verileri toplar:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">say\u0131= <strong>25<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"border-top: 1px solid black;\">x<\/span> = <strong>85<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">s = <strong>4,1<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu de\u011ferleri<a href=\"https:\/\/statorials.org\/tr\/ornek-bir-t-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">tek \u00f6rnekli t testi hesaplay\u0131c\u0131s\u0131na<\/a> takt\u0131\u011f\u0131m\u0131zda a\u015fa\u011f\u0131daki sonu\u00e7lar\u0131 elde ederiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">t-testi istatisti\u011fi: <strong>3,6586<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Tek tarafl\u0131 p de\u011feri: <strong>0,0006<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">P de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan profes\u00f6r s\u0131f\u0131r hipotezini reddeder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yeni \u00e7al\u0131\u015fma y\u00f6nteminin 82&#8217;nin \u00fczerinde ortalama puanla s\u0131nav sonu\u00e7lar\u0131 \u00fcretti\u011fi sonucuna varmak i\u00e7in yeterli kan\u0131t\u0131 var.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler hipotez testi hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener\">Hipotez Testine Giri\u015f<\/a><br \/> Y\u00f6nl\u00fc hipotez nedir?<br \/> <a href=\"https:\/\/statorials.org\/tr\/sifir-hipotezi-ne-zaman-reddedilir\/\" target=\"_blank\" rel=\"noopener\">S\u0131f\u0131r hipotezi ne zaman reddedilir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte, bir pop\u00fclasyon parametresi hakk\u0131ndaki bir ifadenin do\u011fru olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in hipotez testini kullan\u0131r\u0131z. Ne zaman bir hipotez testi yapsak, her zaman bir s\u0131f\u0131r hipotezi ve bir alternatif hipotez yazar\u0131z; bunlar a\u015fa\u011f\u0131daki bi\u00e7imleri al\u0131r: H 0 (s\u0131f\u0131r hipotezi): pop\u00fclasyon parametresi = \u2264, \u2265 belirli bir de\u011fer H A (alternatif hipotez): pop\u00fclasyon parametresi &lt;, &gt;, [&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-3267","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>Tek tarafl\u0131 hipotez testi: 3 sorun \u00f6rne\u011fi - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde tek tarafl\u0131 hipotez testinin birka\u00e7 \u00f6rne\u011fi sunulmaktad\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\/tek-tarafli-test-ornegi-problemleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tek tarafl\u0131 hipotez testi: 3 sorun \u00f6rne\u011fi - 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