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Olivia.W🌸 · 2024年02月01日

为什么reject部分不是z <1.960 and z > –1.960?

  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.

答案：This test is two-sided at the 0.05 significance level, and the rejection point conditions are z > 1.960 and z < –1.960.

为什么reject部分不是z <1.960 and z > –1.960? 我记得讲课视频是这样啊

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1 个答案

品职助教_七七 · 2024年02月03日

嗨，努力学习的PZer你好：


见下图。拒绝域是两侧尾部区域。

对于at a 0.05 significance level的two-tailed test而言，是|z|＞1.96。打开绝对值符号即为 z > 1.96 and z < –1.96。

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虽然现在很辛苦，但努力过的感觉真的很好，加油！

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