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77 · 2021年02月10日

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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

absolute value of the rejection point 为啥我理解的是“拒绝点的绝对值”呢(即不考虑正负号)?怎么理解的就是那个点阿尔法对应的1.96/1.65呢

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星星_品职助教 · 2021年02月11日

同学你好,

这道题里的“rejection region”指得是拒绝域/ level of significance/α。这是一个概率或者说面积的概念,例如5%的level of significance

“rejection point”指得是critical value,这是横轴的“点”的概念。例如双尾检验,5%的level of significance,正态分布所对应的“rejection point”就是±1.96(见下图)。此时的absolute value of the rejection point就是1.96,加绝对值是为了方便和计算出来的检验统计量对比。

77 · 2021年02月11日

谢谢

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