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The power of a hypothesis test is:

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题目

The power of a hypothesis test is:

选项

A.equivalent to the level of significance.

B.the probability of not making a Type II error.

C.unchanged by increasing a small sample size.

答案

B

解析

: B is correct. The power of a hypothesis test is the probability of correctly rejecting the null when it is false. Failing to reject the null when it is false is a Type II error. Thus, the power of a hypothesis test is the probability of not committing a Type II error. : B正确。 假设检验的Power of a test是指:当原假设为假时,拒绝原假设的概率。如果原假设为假,不能拒绝它,这属于第二类错误。因此,Power of a test相当于是不犯第二类错误的概率。