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Helen 🎈 · 2022年12月21日

B选项

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

老师,我是用排除法选的B,看了其他同学的问题和您的回复,99% a是0.01对应双尾是2.58,那单尾就是0.005?这怎么查出来的呢

2 个答案

星星_品职助教 · 2022年12月21日

@Helen 🎈

1)原回复回答的即为应如何从0.005对应出关键值2.58,本题不需查表;

2)如果查表,则可找到左尾面积为0.05对应出-2.58,或左尾面积为0.995对应出+2.58.

以后者为例,在表格中找到最接近0.9950的0.9949和0.9951,可以反向对应出此时关键值大概在2.575左右,即2.58.

星星_品职助教 · 2022年12月21日

同学你好,

0.01是双尾的总面积,根据对称性,此时单侧的尾部面积就是0.01/2=0.005。

所以双尾0.01对应的关键值2.58,就也是单尾0.005所对应的关键值。

Helen 🎈 · 2022年12月21日

我就是不知道0.005怎么查?表上有吗?

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