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摩羯大小姐 · 2021年10月10日

C为什么不对?

NO.PZ2017092702000124

问题如下:

Which of the following statements regarding a one-tailed hypothesis test is correct?

选项:

A.

The rejection region increases in size as the level of significance becomes smaller.

B.

A one-tailed test more strongly reflects the beliefs of the researcher than a two tailed test.

C.

The absolute value of the rejection point is larger than that of a two-tailed test at the same level of significance.

解释:

B is correct.

One-tailed tests in which the alternative is "greater than" or "less than" represent the beliefs of the researcher more firmly than a "not equal to" alternative hypothesis

一个双尾检验是例如均值是否等于0,此时检验结果无论是远大于0还是远小于0都可以拒绝原假设。并没有一个明确的方向。

而一个单尾检验有确定的方向,例如检验均值是否大于0。此时只有均值远小于0才可以拒绝原假设。

所以单尾的检验更有针对性,反应出来检验者对于检验的方向和信心更强。

双尾要除以2,比单尾小啊
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星星_品职助教 · 2021年10月11日

同学你好,

C选项这种描述最好的办法就是直接用背过的值做一个例子来判断。

正态分布下,95%的单尾检验对应关键值(rejection point)的绝对值为1.645;而95%的双尾检验对应关键值的绝对值为1.96.

C选项的意思是单尾检验(one-tailed hypothesis test)对应的关键值的绝对值要比双尾( two-tailed)检验,由于1.645<1.96,所以C选项说反了。

正确的说法是:The absolute value of the rejection point is smaller than that of a two-tailed test at the same level of significance.

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