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johnny · 2019年11月26日

问一道题:NO.PZ2015120604000147

问题如下图:

    

选项:

A.

B.

C.

解释:


老师请问我们背诵的95%的区间不是1.96吗?难道是双尾是1.96,而单尾就是按10%来算就是1.65?是这个意思吗?不好意思复习冲刺的时候突然发现这个知识点掌握很差。


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星星_品职助教 · 2019年11月26日

同学你好,

回忆下背诵这几组数字的背景,是在讲置信区间的时候给出的。由于这是一个分布里居中的“区间”的概念,所以95%的区间意味着左右有两个尾巴,面积一共是5%。也就是单侧面积2.5%。所以1.96实际上是单侧面积2.5%的关键值。(前提是正态分布)。

所以1.96可以应用于两个场合 1. 对应5%的双尾  2. 对应2.5%的单尾。

而这道题的题干中说的是“....greater than 26%”,所以不可能是双尾的情况。双尾的情况会说均值=26%。

同理,1.65对应的是90%的置信区间,也就是单尾的5%,或者双尾的10%。

考试的时候看题干分清楚单双尾即可,加油。

bodane · 2019年11月26日

1.65对应的是90%的置信区间,也就是单尾的5%,或者双尾的10%。?

bodane · 2019年11月27日

已明白了

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