C选项为何不是双尾检验？

NO.PZ2018062016000123

问题如下：

Which of the following statements about one-side hypothesis test is most correct ?

选项：

We reject the null only if the evidence indicates that the population parameter is smaller or larger than the critical value.

Do not have Type I error.

We reject the null only if the evidence indicates that the test statistic is greater than or less than the critical value.

解释：

C is correct. By definition, one-side hypothesis test also called one-tailed hypothesis test, which reject rule is reject the null only if the evidence indicates that the test statistic is greater than or less than the critical value.

这句话应该怎样理解？是否理解为检验值只能落在less than 或 greater than其中一个区域？而two-tailed 必须同时要落在两个拒绝域才符合拒绝条件？

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星星_品职助教 · 2023年07月31日

同学你好，

1）这句话的理解为：当|test statistic|＞|critical value|时，拒绝原假设。“ the test statistic is greater than or less than the critical value”就是对打开绝对值符号后的描述。这句话也是判断是否拒绝原假设的主要原则之一。

2）这道题考察的只是单尾检验，题干为“Which of the following statements about one-side hypothesis test is most correct ?”，没有涉及到双尾检验的情况。但是，上一条所说的原则在双尾检验中也是成立的。

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C选项为何不是双尾检验？

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