An analyst does research about hypothesis testing and conducts a significance test to determine if the relationship between two variables is real or the result of chance. His null hypothesis is that the population correlation coefficient is equal to zero and his alternative hypothesis is that the population correlation coefficient is different from zero. He develops the following information:
Value of the test statistic | 1.7081 |
Critical value at the 0.05 significance level | 1.96 |
Critical value at the 0.01 significance level | 2.58 |
A. one-tailed test and can reject his null hypothesis.
B. two-tailed test and can reject his null hypothesis.
C. two-tailed test and can not reject his null hypothesis.
参考答案:C
解析:
根据5%的显著性水平是1.96的临界值,1%的显著性水平是2.58的临界值,可知是双边检验,1.7081小于1.96,没有落在拒绝域,说明无论在5%的显著性水平还是1%的显著性水平下,都无法拒绝原假设。