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viviup123 · 2020年02月27日

问一道题:NO.PZ2017092702000163

问题如下:

Jill Batten is analyzing how the returns on the stock of Stellar Energy Corp. are related with the previous month’s percent change in the US Consumer Price Index for Energy (CPIENG). Based on 248 observations, she has computed the sample correlation between the Stellar and CPIENG variables to be -0.1452. She also wants to determine whether the sample correlation is statistically significant. The critical value for the test statistic at the 0.05 level of significance is approximately 1.96. Batten should conclude that the statistical relationship between Stellar and CPIENG is:

选项:

A.

significant, because the calculated test statistic has a lower absolute value than the critical value for the test statistic.

B.

significant, because the calculated test statistic has a higher absolute value than the critical value for the test statistic.

C.

not significant, because the calculated test statistic has a higher absolute value than the critical value for the test statistic.

解释:

B is correct. The calculated test statistic is t = -2.30177

Because the absolute value of t is greater than 1.96, the correlation coefficient is statistically significant.


这个地方算出来t=-2.3,是在拒绝域内,这里不应该是H0= signficant 么? 在拒绝域内不就是这个variance的关系应该是unsignficant的么?

1 个答案

星星_品职助教 · 2020年02月27日

同学你好,

t统计量落在拒绝域的意思是要拒绝原假设H0,结论是系数不等于0(significant)