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tianbanli0228 · 2023年05月03日

计算时%是否要转换成小数点

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.

表头明确1%=0.01,请问为啥计算t统计量时带入的是0.5而不是0.005?

1 个答案

星星_品职助教 · 2023年05月04日

同学你好,

题干中“...for each 1 percent increase in pre-offer price adjustment, the initial return will increase by less than 0.5 percent”相当于pre-offer price adjustment增加1%,initial return增加不到0.5%。

简单转化,可得pre-offer price adjustment增加1,initial return增加不到0.5。据此写出备择假设。百分号直接消掉了,不需要再去转化为小数。

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