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ROOT · 2023年03月13日

请老师讲解一下

NO.PZ2022071202000094

问题如下:

QuestionA one-tailed hypothesis testing has a p-value for a test statistic of 3%. An analyst would not reject the null hypothesis at a significance level of:

选项:

A.0.01.

B.0.05.

C.0.10.

解释:

Solution

A is correct. By the definition of p-value, 0.03 is the smallest level of significance at which the null hypothesis can be rejected. An analyst cannot reject the null hypothesis at the 0.01 significance level.

B is incorrect. As explained in choice A

C is incorrect. As explained in choice A.

老师这道题目是不是有问题?应该选BC吧?p越小越拒绝原假设,题目问不能拒绝原假设,难道不是要比0. 03大嘛?

1 个答案

星星_品职助教 · 2023年03月13日

同学你好,

1)p-value<significance level,则拒绝原假设。反之,如不能拒绝原假设,则p-value(0.03)就必须大于significance level。

2)题干中给出p-value=0.03,选项为significance level的值。所以“would not reject the null hypothesis”对应的选项值需要比0.03小,也就是只有A选项。

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