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：
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.
老师，您好！
关于t统计量的单尾检验，如果原假设是>=某个值，当p-value < critical value，即本题中-3.22 < -1.645时，则拒绝原假设。
反之，如果原假设是<=某个值，当p-value > critical value，则拒绝原假设。是这样吗？谢谢！
