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HG · 2020年06月06日

问一道题:NO.PZ201709270100000108

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问题如下:

8. Which of the following should Liu conclude from these results shown in Exhibit 2?

选项:

A.

The average short interest ratio is 5.4975.

B.

The estimated slope coefficient is statistically significant at the 0.05 level.

C.

The debt ratio explains 30.54% of the variation in the short interest ratio.

解释:

B is correct.

The t-statistic is −2.2219, which is outside of the bounds created by the critical t-values of ± 2.011 for a two-tailed test with a 5% significance level. The 2.011 is the critical t-value for the 5% level of significance (2.5% in one tail) for 48 degrees of freedom.

significant是说不等于0对吗?H0不是=0的假设吗?如果统计量小于-2.011就是落在了左侧,那么应该接受H0啊,那就是等于0的假设,那么不是应该not significant different from 0吗?

1 个答案

星星_品职助教 · 2020年06月09日

同学你好,

表格中给的t-statistic都是基于对应的coefficient=0的原假设。

对于slope coefficient而言,由于对应的t-statistic(−2.2219)<critical t-value (- 2.011),即你说的落在左侧,所以这是落在了拒绝域里,应该拒绝原假设。结论为slope coefficient≠0,也就是significant。选择B选项