[商管] [統計] 台師大管研98年

看板Grad-ProbAsk作者 (J)時間14年前 (2011/03/14 21:34), 編輯推噓4(403)
留言7則, 3人參與, 最新討論串1/1
可能是小弟比較少碰這種題目 結果一出就卡住了... Suppose that a coin is biased , and it is know that the average propotion of heads is one of the three values p=0.2 , 0.3 , or 0.8 . The coin is tossed repeatedly , and we let X be the number of tosses required to obtain the first head. To test Ho: p=0.8 , suppose we reject Ho if X≧3 , and don't reject otherwise. (a)What is the probability of the Type I error? (b)What is the probability of Type II error for each of the other two values of p ? 煩請各位高手指教一下 感謝 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 182.234.228.116

03/15 00:36, , 1F
型一錯誤指的是Ho為真下拒絕Ho的機率
03/15 00:36, 1F

03/15 00:37, , 2F
型二錯誤指的是H1為真下不拒絕Ho的機率
03/15 00:37, 2F

03/15 09:56, , 3F
我知道這個呀... 可是要怎麼運用...
03/15 09:56, 3F

03/15 19:02, , 4F
你可以先試著把拒絕域求出來,這樣答案就呼之欲出了喔
03/15 19:02, 4F

03/15 21:41, , 5F
而且他拒絕域也給妳了..用標準常態算個機率而已
03/15 21:41, 5F

03/16 00:24, , 6F
欸我發現有點卡卡的耶,想請問樓上X≧3的機率怎麼算阿?
03/16 00:24, 6F

03/16 00:28, , 7F
我釋子列到α=P{X>3︳P=0.8}就卡住了
03/16 00:28, 7F
文章代碼(AID): #1DVXbwTa (Grad-ProbAsk)