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扑扑扑 · 2020年08月01日

问一道题:NO.PZ2017092702000123

问题如下:

A hypothesis test for a normally-distributed population at a 0.05 significance level implies a:

选项:

A.

95% probability of rejecting a true null hypothesis.

B.

95% probability of a Type I error for a two-tailed test.

C.

5% critical value rejection region in a tail of the distribution for a one-tailed test.

解释:

C is correct.

For a one-tailed hypothesis test, there is a 5% critical value rejection region in one tail of the distribution.

C选项如果对于双尾,是不是选项里critical value对应的值就应当改成2.5%?

2 个答案

星星_品职助教 · 2020年08月04日

@扑扑扑

这么说是对的。但不要自己改选项,协会未必会以你改的那种方式来出题。

星星_品职助教 · 2020年08月03日

同学你好,

如果significance level=5%,那么就可以确定 1. confidence level=95%; 2. 对于双尾的假设检验而言,单侧拒绝域的面积为2.5%; 3. 对于单尾的假设检验而言,单侧(只有一侧)的拒绝域面积为5%,拒绝域在左尾还是右尾取决于备择假设。

无论是双尾还是单尾检验,已知单侧拒绝域的面积,就可以用单尾t表查出对应的critical value

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