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Nancy 王悦 · 2020年07月01日

问一道题:NO.PZ2017092702000136 [ CFA I ]

问题如下:

The following table shows the significance level (α) and the p-value for three hypothesis tests.  

The evidence for rejecting H0 is strongest for:

选项:

A.

Test 1.

B.

Test 2.

C.

Test 3.

解释:

C is correct.

The p-value is the smallest level of significance (α) at which the null hypothesis can be rejected. If the p-value is less than α, the null can be rejected. The smaller the p-value, the stronger the evidence is against the null hypothesis and in favor of the alternative hypothesis. Thus, the evidence for rejecting the null is strongest for Test 3.

怎么做这道题,没有思路,结合题目请老师讲一下,为什么A选项不对,谢谢

1 个答案
已采纳答案

星星_品职助教 · 2020年07月02日

同学你好,

题目问什么时候拒绝原假设的证据最强。由于是通过p-value判断,原则就是“p越小越拒绝”,

A选项的p-value是大于α的,所以不能拒绝原假设,可以首先排除。B,C选项都可以拒绝原假设,但是C选项的p-value更小一些,所以拒绝原假设拒绝的更强。