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All else equal, is specifying a smaller ...

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题目

All else equal, is specifying a smaller significance level in a hypothesis test likely to increase the probability of a Type I error or Type II error?

选项

A.Type I error (No) or Type II error (No)

B.Type I error (No) or Type II error (Yes)

C.Type I error (Yes) or Type II error (No)

答案

B

解析

: B is correct. Specifying a smaller significance level decreases the probability of a Type I error (rejecting a true null hypothesis), but increases the probability of a Type II error (not rejecting a false null hypothesis). As the level of significance decreases, the null hypothesis is less frequently rejected. : B正确。 指定一个更小的显著性水平会降低第一类错误(拒绝一个真的原假设)的概率,但会增加第二类错误(不拒绝一个假的原假设)的概率。随着显著性水平的降低,原假设被拒绝的频率会降低。