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刘杨 · 2024年04月11日

怎么判断左尾右尾

NO.PZ2023040502000010

问题如下:

Hansen believes that for each 1 percent increase in pre-offer price adjustment, the initial return will increase by less than 0.5 percent, holding other variables constant. Hansen wishes to test this hypothesis at the 0.05 level of significance.


The most appropriate null hypothesis and the most appropriate conclusion regarding Hansen’s belief about the magnitude of the initial return relative to that of the pre-offer price adjustment (reflected by the coefficient bj) are:

选项:

Null Hypothesis
Conclusion about bj(0.05 Level of Significance)
A.
H0: bj=0.5
Reject H0
B.
H0: bj≥0.5
Fail to reject H0
C.
H0: bj≥0.5
Reject H0

解释:

To test Hansen’s belief about the direction and magnitude of the initial return, the test should be a one-tailed test. The alternative hypothesis is H1: , and the null hypothesis is H0: .The correct test statistic is: t = (0.435-0.50)/0.0202 = -3.22, and the critical value of the t-statistic for a one-tailed test at the 0.05 level is -1.645. The test statistic is significant, and the null hypothesis can be rejected at the 0.05 level of significance.

怎么判断左尾右尾,一级没学好,麻烦讲一下

1 个答案

品职助教_七七 · 2024年04月12日

嗨,爱思考的PZer你好:


左右尾根据备择假设来判断。

研究人员“相信的、想证明的”应放在备择假设。本题Hansen相信的为“Hansen believes that for each 1 percent increase in pre-offer price adjustment, the initial return will increase by less than 0.5 percent.....”,由此得到备择假设Ha为bj<0.5。

故该检验为单尾检验,拒绝域在左尾。

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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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