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庄园monar · 2022年11月01日

请问什么时候要除以2，什么时候不要？

  1. CFA I
  2. Quantitative

NO.PZ2015120604000130

问题如下：

We want to use z-statistic to construct confidence interval for a normally distribution. Assume the sample size is 100, sample mean is 15% and the standard deviation of sample is 25%. The significance level is supposed to be 10% , the confidence interval is :

选项：

A.

- 10.88% to 19.13%.

B.

10.88% to 19.13%.

C.

10.88% to 20.57%.

解释：

B is correct.

In this case, we can know that the Confidence Interval=[Point Estimate +/- (reliability factor)*Standard error]=


Significance Level都是要除以2吗？

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1 个答案

星星_品职助教 · 2022年11月01日

同学你好，

需要看对应的情况是单尾还是双尾。

数量科目中，所有的confidence interval都是双尾情况。所以本题的significance level 10%对应的就是双尾面积一共为10%。

同理适用于假设检验中的双尾检验，也是双尾面积一共为10%。

如果是单尾检验，则单尾面积为10%。

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