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施敏 · 2021年02月10日

问一道题:NO.PZ2017092702000140 [ CFA I ]

问题如下:

An investment consultant conducts two independent random samples of 5-year performance data for US and European absolute return hedge funds. Noting a 50 basis point return advantage for US managers, the consultant decides to test whether the two means are statistically different from one another at a 0.05 level of significance. The two populations are assumed to be normally distributed with unknown but equal variances. Results of the hypothesis test are contained in the tables below.

The results of the hypothesis test indicate that the:

选项:

A.

null hypothesis is not rejected.

B.

alternative hypothesis is statistically confirmed.

C.

difference in mean returns is statistically different from zero.

解释:

A is correct.

The t-statistic value of 0.4893 does not fall into the critical value rejection regions (≤ –1.984 or > 1.984). Instead it falls well within the acceptance region. Thus, H0 cannot be rejected; the result is not statistically significant at the 0.05 level.

significant level是0.05,为什么critical value不是95%
1 个答案
已采纳答案

星星_品职助教 · 2021年02月10日

同学你好,

significance level=0.05对应的是confidence level=0.95。以上两者都是概率或面积的含义。

critical value是一个横轴上的点,不是概率面积。如果是双尾检验且为正态分布,则5% significance level/95% confidence level所对应的critical value为±1.96。如果是t分布则需要结合自由度去查表。

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