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ziyingchen10 · 2020年11月04日

问一道题:NO.PZ2017092702000124

问题如下:

Which of the following statements regarding a one-tailed hypothesis test is correct?

选项:

A.

The rejection region increases in size as the level of significance becomes smaller.

B.

A one-tailed test more strongly reflects the beliefs of the researcher than a two tailed test.

C.

The absolute value of the rejection point is larger than that of a two-tailed test at the same level of significance.

解释:

B is correct.

One-tailed tests in which the alternative is "greater than" or "less than" represent the beliefs of the researcher more firmly than a "not equal to" alternative hypothesis

还是不能理解C选项: 为什么在显著性水平相同的情况下,单尾的临界值会比双尾小?课件在哪一部分提到?我再重温一下?

1 个答案
已采纳答案

星星_品职助教 · 2020年11月04日

同学你好,

以正态分布,5%的显著性水平,右尾的情况为例。如果是双尾,那么右尾概率就是一半即2.5%,对应的临界值就是1.96。

如果是单尾,那么右尾概率就是5%。很显然这个面积更大,对应的临界值也就更小(1.65)。

如果考试的时候记不起来,那么就用以上的这个例子比较一下就可以了。数字都要求背过。

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