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六姑娘 · 2023年07月08日

这个显著性水平为何不除以2

  1. Quantitative

NO.PZ2022123001000107

问题如下：

Consider a two-tailed test of the hypothesis that the population mean is zero. The sample has 50 observations. The population is normally distributed with a known variance.


At a 0.05 significance level, the rejection points are most likely at:

选项：

A.–2.010 and 2.010 B.–2.009 and 2.009 C.–1.960 and 1.960

解释：

The appropriate test statistic is a z-statistic because the sample comes from a normal distributed population with known variance. A z-test does not use degrees of freedom. This test is two-sided at the 0.05 significance level, and the rejection point conditions are z > 1.960 and z < –1.960.

这个显著性水平为何不除以2



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1 个答案

星星_品职助教 · 2023年07月09日

同学你好，

这道题表格中的z-distribution部分中，给出的都是α的值。由于significance level就是α自身，不是α/2。所以根据题干中给出At a 0.05 significance level，只能去表格中找α=0.05，不能找0.025。

然后对应出1.96即可。



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