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Sofia nice · 2023年06月05日

解释下B

NO.PZ2015120604000131

问题如下:

Which of the following descriptions is the least accurate about hypothesis testing?

选项:

A.

A Type II error refers to fail to reject when the null is false.

B.

A one-tailed test with a significance level of 1% has z-critical values of 2.58.

C.

One minus the probability of a Type II error equals the power of test .

解释:

B is correct.

A one-tailed test with a significance level of 1% has z-critical values of 2.33

不懂B,容易搞混。麻烦详细说下。Z统计不都是双尾吗?为啥会有单尾的。另外,为啥用1%折合单尾0.5%,而不是2%

2 个答案
已采纳答案

星星_品职助教 · 2023年06月17日

单尾z分布只有一个尾巴,这个尾巴的面积为1%。对应的关键值为2.33。没有两个尾巴。


袁园_品职助教 · 2023年06月06日

嗨,从没放弃的小努力你好:


单尾和双尾和分布没有关系的,Z统计也是可以有单尾的,它是根据你的备择假设来的,比如你是检验b1>=0,那么备择假设就是b1<0,这种情况就是单尾检验。再比如下面这个双尾和单尾检验的图。

这里查表,直接找1%就可以了,直接对应2.33


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努力的时光都是限量版,加油!

Sofia nice · 2023年06月16日

还是没太懂,为啥又是2.33呢?如果说一个单尾Z分布的显著性水平是1%,是不是就是1个尾巴是1%,2个尾巴就是2%

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