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萧萧 · 2023年10月29日

5%level of significant 右尾为什么不用0.025对应的值

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.

5%level of significant 右尾为什么不用0.025对应的值,虽然0.025对应的值也是拒绝原假设

1 个答案
已采纳答案

星星_品职助教 · 2023年10月29日

同学你好,

1)本题为单尾检验,可通过备择假设来确定这一点。即根据题干中第一句的“Hansen believes that.....”,可知“相信的”应放在备择假设,由此得到Ha为bj<0.5。故该检验为单尾检验,拒绝域在左尾;

2)对于单尾检验,拒绝域的面积就是significance level自身的值,也就是本题中的5%。只有双尾检验才需要再除以2。

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