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lcrcp3 · 2023年09月14日

如题

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.

这个t检验用的什么公式?为什么用这几个数?

1 个答案
已采纳答案

星星_品职助教 · 2023年09月15日

同学你好,

t检验统计量的计算公式为:(系数估计量-假设值)/ 系数估计量的标准误

逐个代入pre-offer price adjustment的系数估计量=0.435(表格直接给出),假设值=0.5(根据题干中提示的备择假设得出),和标准误=0.0202(表格直接给出)即可。

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