{"id":1512,"date":"2023-07-26T02:13:51","date_gmt":"2023-07-26T02:13:51","guid":{"rendered":"https:\/\/statorials.org\/tr\/sifir-hipotezi-nasil-yazilir\/"},"modified":"2023-07-26T02:13:51","modified_gmt":"2023-07-26T02:13:51","slug":"sifir-hipotezi-nasil-yazilir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/sifir-hipotezi-nasil-yazilir\/","title":{"rendered":"S\u0131f\u0131r hipotezi nas\u0131l yaz\u0131l\u0131r (5 \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir hipotez testi, 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 veri \u00f6rneklerini kullan\u0131r.<\/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;\"><em><strong>S\u0131f\u0131r hipotezinin her zaman e\u015fittir i\u015faretini i\u00e7erdi\u011fini<\/strong> unutmay\u0131n.<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Hipotezleri \u015fu \u015fekilde yorumluyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Bo\u015f Hipotez:<\/strong> \u00d6rnek veriler, bir bireyin iddias\u0131n\u0131 destekleyecek hi\u00e7bir kan\u0131t sa\u011flamaz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Alternatif Hipotez:<\/strong> Veri \u00f6rnekleri, bir bireyin iddias\u0131n\u0131 desteklemek i\u00e7in yeterli kan\u0131t <em>sa\u011flar<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir bitki t\u00fcr\u00fcn\u00fcn ortalama boyunun 20 in\u00e7 oldu\u011funu varsayal\u0131m. Ancak bir botanik\u00e7i, ger\u00e7ek ortalama y\u00fcksekli\u011fin 20 in\u00e7ten fazla oldu\u011funu s\u00f6yl\u00fcyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu iddiay\u0131 test etmek i\u00e7in d\u0131\u015far\u0131 \u00e7\u0131k\u0131p <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">rastgele bitki \u00f6rnekleri<\/a> toplayabilir. Daha sonra bu \u00f6rnek verileri a\u015fa\u011f\u0131daki iki hipotezi kullanarak bir hipotez testi ger\u00e7ekle\u015ftirmek i\u00e7in kullanabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u03bc \u2264 20 (ger\u00e7ek ortalama bitki boyu 20 in\u00e7&#8217;e e\u015fit veya hatta daha azd\u0131r)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u03bc &gt; 20 (ger\u00e7ek ortalama bitki boyu 20 in\u00e7ten fazlad\u0131r)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Botanik\u00e7i taraf\u0131ndan toplanan \u00f6rnekleme verileri, bu bitki t\u00fcr\u00fcn\u00fcn ortalama y\u00fcksekli\u011finin 20 in\u00e7ten \u00f6nemli \u00f6l\u00e7\u00fcde fazla oldu\u011funu g\u00f6steriyorsa, bo\u015f hipotezi reddedebilir ve ortalama y\u00fcksekli\u011fin 20 in\u00e7ten b\u00fcy\u00fck oldu\u011fu sonucuna varabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Farkl\u0131 durumlarda s\u0131f\u0131r hipotezinin nas\u0131l yaz\u0131laca\u011f\u0131n\u0131 daha iyi anlamak i\u00e7in a\u015fa\u011f\u0131daki \u00f6rnekleri okuyun.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: kaplumba\u011falar\u0131n a\u011f\u0131rl\u0131\u011f\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir biyolog, belirli bir kaplumba\u011fa t\u00fcr\u00fcn\u00fcn ger\u00e7ek ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 300 pound olup olmad\u0131\u011f\u0131n\u0131 kontrol etmek istiyor. Bunu test etmek i\u00e7in 40 kaplumba\u011fadan olu\u015fan rastgele bir numunenin a\u011f\u0131rl\u0131\u011f\u0131n\u0131 \u00f6l\u00e7ecek.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryo i\u00e7in bo\u015f ve alternatif hipotezleri nas\u0131l yazaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u03bc = 300 (ger\u00e7ek ortalama a\u011f\u0131rl\u0131k 300 pound&#8217;a e\u015fittir)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u03bc \u2260 300 (ger\u00e7ek ortalama a\u011f\u0131rl\u0131k 300 pound&#8217;a e\u015fit de\u011fildir)<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Erkeklerin b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir \u015fehirdeki erkeklerin ortalama boyunun 68 in\u00e7 oldu\u011fu varsay\u0131lmaktad\u0131r. Ancak ba\u011f\u0131ms\u0131z bir ara\u015ft\u0131rmac\u0131, ger\u00e7ek ortalama y\u00fcksekli\u011fin 68 in\u00e7ten fazla oldu\u011funu tahmin ediyor. Bunu test etmek i\u00e7in d\u0131\u015far\u0131 \u00e7\u0131kar ve \u015fehirdeki 50 erke\u011fin boyunu toplar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryo i\u00e7in bo\u015f ve alternatif hipotezleri nas\u0131l yazaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u03bc \u2264 68 (ger\u00e7ek ortalama y\u00fckseklik 68 in\u00e7&#8217;e e\u015fit veya hatta daha azd\u0131r)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u03bc &gt; 68 (ger\u00e7ek ortalama y\u00fckseklik 68 in\u00e7ten b\u00fcy\u00fckt\u00fcr)<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Mezuniyet oran\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir \u00fcniversite \u00f6\u011frencilerinin %80&#8217;inin zaman\u0131nda mezun oldu\u011funu bildirmektedir. Ancak ba\u011f\u0131ms\u0131z bir ara\u015ft\u0131rmac\u0131, t\u00fcm \u00f6\u011frencilerin %80&#8217;inden az\u0131n\u0131n zaman\u0131nda mezun oldu\u011funu tahmin ediyor. Bunu test etmek i\u00e7in ge\u00e7en y\u0131l \u00fcniversiteden zaman\u0131nda mezun olan \u00f6\u011frencilerin oran\u0131na ili\u015fkin veriler topluyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryo i\u00e7in bo\u015f ve alternatif hipotezleri nas\u0131l yazaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : p \u2265 0,80 (zaman\u0131nda mezun olan \u00f6\u011frencilerin ger\u00e7ek oran\u0131 %80 veya daha fazlad\u0131r)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u03bc &lt; 0,80 (zaman\u0131nda mezun olan \u00f6\u011frencilerin ger\u00e7ek oran\u0131 %80&#8217;den azd\u0131r)<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 4: hamburger a\u011f\u0131rl\u0131\u011f\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir g\u0131da ara\u015ft\u0131rmac\u0131s\u0131, belirli bir restorandaki bir hamburgerin ger\u00e7ek ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n 7 ons olup olmad\u0131\u011f\u0131n\u0131 test etmek istiyor. Bunu test etmek i\u00e7in bu restorandan rastgele al\u0131nan 20 hamburger \u00f6rne\u011finin a\u011f\u0131rl\u0131\u011f\u0131n\u0131 \u00f6l\u00e7ecek.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryo i\u00e7in bo\u015f ve alternatif hipotezleri nas\u0131l yazaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u03bc = 7 (ger\u00e7ek ortalama a\u011f\u0131rl\u0131k 7 ons&#8217;a e\u015fittir)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u03bc \u2260 7 (ger\u00e7ek ortalama a\u011f\u0131rl\u0131k 7 ons&#8217;a e\u015fit de\u011fildir)<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 5: Vatanda\u015f deste\u011fi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir politikac\u0131, belirli bir \u015fehirdeki vatanda\u015flar\u0131n %30&#8217;undan az\u0131n\u0131n belirli bir yasay\u0131 destekledi\u011fini iddia ediyor. Bunu test etmek i\u00e7in 200 vatanda\u015fa yasay\u0131 destekleyip desteklemedikleri konusunda anket yapt\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryo i\u00e7in bo\u015f ve alternatif hipotezleri nas\u0131l yazaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : p \u2265 0,30 (yasay\u0131 destekleyen vatanda\u015flar\u0131n ger\u00e7ek oran\u0131 %30&#8217;dan b\u00fcy\u00fck veya e\u015fittir)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u03bc &lt; 0,30 (yasay\u0131 destekleyen vatanda\u015flar\u0131n ger\u00e7ek oran\u0131 %30&#8217;dan azd\u0131r)<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener\">Hipotez Testine Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/guvenilirlik-araligi\/\" target=\"_blank\" rel=\"noopener\">G\u00fcven Aral\u0131klar\u0131na Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">P de\u011ferlerinin ve istatistiksel anlaml\u0131l\u0131\u011f\u0131n a\u00e7\u0131klamas\u0131<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir hipotez testi, bir pop\u00fclasyon parametresi hakk\u0131ndaki bir ifadenin do\u011fru olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in veri \u00f6rneklerini kullan\u0131r. 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 [&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-1512","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>Bo\u015f Hipotez Nas\u0131l Yaz\u0131l\u0131r (5 \u00d6rnek) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, birka\u00e7 ad\u0131m ad\u0131m \u00f6rnekle s\u0131f\u0131r hipotezinin nas\u0131l yaz\u0131laca\u011f\u0131 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\/sifir-hipotezi-nasil-yazilir\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bo\u015f Hipotez Nas\u0131l Yaz\u0131l\u0131r (5 \u00d6rnek) - 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