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袁翀 · 2021年11月04日

A为什么不对呢?

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

一个双尾检验是例如均值是否等于0,此时检验结果无论是远大于0还是远小于0都可以拒绝原假设。并没有一个明确的方向。

而一个单尾检验有确定的方向,例如检验均值是否大于0。此时只有均值远小于0才可以拒绝原假设。

所以单尾的检验更有针对性,反应出来检验者对于检验的方向和信心更强。

当显著区域减少的时候拒绝域的确增加呀
1 个答案
已采纳答案

星星_品职助教 · 2021年11月04日

同学你好,

the level of significance就是the rejection region,例如5%的significance level对应拒绝域的面积就是5%。所以两者变化是一致的。

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