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飞不动的小仙女 · 2022年05月07日

p-value 、 α和critical value的关系是什么呀?

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问题如下:

According to the evidence of rejecting the null hypothesis, which of the following statements is most accurate?(Assume that the level of significance is represented by α)

选项:

A.

When the p-value is lower than α, the p-value is higher, the evidence is stronger.

B.

When the p-value is higher than α, the p-value is lower, the evidence is stronger.

C.

When the p-value is lower than α, the p-value is lower, the evidence is stronger.

解释:

C is correct. The p-value is the smallest level of significance(α) at which the null hypothesis can be rejected for a given value of the test statistic. The p-value is lower, the evidence of rejecting the null hypothesisthe is stronger.

如题,这几个概念有点混了…

2 个答案

星星_品职助教 · 2022年05月08日

@飞不动的小仙女

p-value实际是和test statistic对应的面积,这部分是超纲的,教材没讲。

在相关题目中,p-value会直接给出。

星星_品职助教 · 2022年05月07日

同学你好,

α是significance level。如果根据α来查表,查出来的数值就是critical value。

拒绝原假设有两条准则,跟α有关的是:1)当p-value<α时,拒绝原假设;

跟critical value有关的是:2)当|test static|>|critical value|时,拒绝原假设;


飞不动的小仙女 · 2022年05月08日

p-value是如何确定的呢?