感觉这道题目设计有问题啊

NO.PZ2018062016000120

问题如下：

which of the following statement is most likely correct?

选项：

Reject the null hypothesis if the

Accept the null hypothesis if the

Reject the null hypothesis if the

解释：

A is correct, according to the decision rule, reject the null hypothesis if the |test statistic| ＞|critical value|, and we can only say cannot reject the null hypothesis.

是不是应该分情况讨论呀

1.如果单尾，H0:μ≤x，Ha：μ＞x，当test stiastic＞critical value的时候，reject H0。

2. 如果单尾，H0:μ≥x，Ha：μ＜x，当test stiastic＜critical value的时候，reject H0。

那这样是不是A和C都正确

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已采纳答案

品职助教_七七 · 2024年02月27日

嗨，爱思考的PZer你好：

题目中给出的情况是绝对值。如拒绝域在左，test statistic和critical value都小于0，且test statistic＜critical value时，此时的|test statistic|依然会大于|critical value|。C选项的描述错误。

所以无论拒绝域在左还是在右还是在两边，拒绝原假设只有一种情况，就是|test statistic|＞|critical value|。

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虽然现在很辛苦，但努力过的感觉真的很好，加油！

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