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扑扑扑 · 2020年08月01日

问一道题:NO.PZ2018062016000131

问题如下:

In the steps of hypothesis testing, which of the following descriptions on the statistically significant result is most accurate?

选项:

A.

When we test the null hypothesis, the caculated value of the test statistic is less extreme than a given value.

B.

When we accept the null hypothesis, we can get a statistically significant result.

C.

When we reject the null hypothesis, the result is statistically significant.

解释:

C is correct. When we test the null hypothesis, if we find that the calculated value of the test statistic is as extreme or more extreme than a give value or values determined by the specified level of sigificance, we reject the null hypothesis, we say the result is statistically significant.

请问A选项错在哪?是不是错在当我们test,可能有两个结果(大于或小于临界值,并不一定像选项说的小于)?

另外请问given value一定指临界点吗?如果given value指临界值,是有可能正有可能负还是指绝对值?

1 个答案

星星_品职助教 · 2020年08月01日

同学你好,

一般用critical value来指临界值的比较多。这道题里的given value就是critical value的意思。

A选项说反了,检验统计量小于临界值是无法拒绝原假设的情况。但比较严谨的说法是计算出来的检验统计量的绝对值>临界值的绝对值时,拒绝原假设,并称为statistically significant。

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