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jay1180 · 2022年09月28日

这题目没看懂。。能解释下问的啥么。。谢谢

NO.PZ2021071601000004

问题如下:

The sample correlation between the GBP monthly returns to Japanese yen and Canadian dollar is 0.5132 for the period from January 2011 through December 2017.

Can we reject a null hypothesis that the underlying or population correlation equals 0 at the 0.05 level of significance?

At the 0.05 significance level, the critical level for this test statistic is 1.99 (n = 84, degrees of freedom = 82

选项:

A.Yes. B.No. C.Neither.

解释:

A is correct.

With 84 months from January 2011 through December 2017, we use the following statistic:


When the test statistic is either larger than 1.99 or smaller than −1.99, we can reject the hypothesis that the correlation in the population is 0. The test statistic is 5.4146, so we can reject the null hypothesis.

RT

1 个答案

星星_品职助教 · 2022年09月28日

同学你好,

这道题问的是:根据题干中给出的条件,对correlation做假设检验,问能否拒绝原假设?

其中原假设为population correlation=0,significance level=0.05。(这两个条件对解题都没啥用)

-------

根据test statistic的公式(如下图),代入n=84(已知条件)和r=0.5132(The sample correlation ....is 0.5132),得到t=5.4146。

由于test statistic大于了给出的critical value 1.99,所以拒绝原假设。也就是对题目“Can we reject a null hypothesis”的回答是A选项的Yes。



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