[問題] 樣本比例有卡方自由度嗎?

看板Statistics作者 (Ryan)時間17年前 (2009/03/14 18:43), 編輯推噓1(104)
留言5則, 2人參與, 最新討論串1/1
Suppose that the proportion p of defective items in a large population of manufactured items is unknown and test the hypothesis p=0.1 against p≠0.1 , Suppose also that in a random sample of 100 items, it is found that 16 are defective. (b)the degree of freedom of the chi-square distribution is 2. (d)the degree of freedom of the chi-square distribution is 1. 最近看到一題考古題(就是上面那題),講到樣本比例的卡方自由度, 請問樣本比例的卡方自由度怎麼算? (我以為是99,但感覺好像大錯特錯) 請求大大指教 <(_@_)> -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 220.134.220.116

03/15 00:52, , 1F
d
03/15 00:52, 1F

03/15 00:53, , 2F
Under H0, total degree of freedom = 0
03/15 00:53, 2F

03/15 00:54, , 3F
Under H1, total degree of freedom is 1
03/15 00:54, 3F

03/15 00:54, , 4F
So, chi-square degree of freedom is 1 - 0 = 1
03/15 00:54, 4F

03/16 16:09, , 5F
對不起,我想了很久,但不了解為什麼H0的自由度=0,H1=1
03/16 16:09, 5F
文章代碼(AID): #19kuevGf (Statistics)