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chuziyang · 2022年05月08日

單位or雙尾?

NO.PZ2017092702000123

问题如下:

A hypothesis test for a normally-distributed population at a 0.05 significance level implies a:

选项:

A.

95% probability of rejecting a true null hypothesis.

B.

95% probability of a Type I error for a two-tailed test.

C.

5% rejection region in a tail of the distribution for a one-tailed test.

解释:

C is correct.

For a one-tailed hypothesis test, there is a 5% rejection region in one tail of the distribution.

对于单尾的检验(for a one-tailed test),单侧拒绝域是5%。

請問這題是考單尾or 雙尾?謝謝

2 个答案

星星_品职助教 · 2022年09月04日

@Captain America

单尾检验只有一侧有拒绝域,在哪一侧取决于备择假设。

星星_品职助教 · 2022年05月08日

同学你好,

这道题目没有限定单双尾。

题干只给出的了α=5%,所以:

1)如果是单尾的情况,那么单侧的拒绝域就是5%,即C选项;

2)如果是双尾的情况(two-tailed test),那么两侧的拒绝域就一共是5%,单侧的拒绝域此时就是2.5%。

Captain America · 2022年09月02日

95%的情况,如果单尾检验是0.05,那另一侧就没有拒绝域了吗?请问

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