如下

问题如下：

Question A two-tailed test of the null hypothesis that the mean of a distribution is equal to 4.00 has a p-value of 0.0567. Using a 5% level of significance (i.e., α = 0.05), the best conclusion is to:

选项：

A.fail to reject the null hypothesis. B.increase the level of significance to 5.67%. C.reject the null hypothesis.

解释：

Solution

A is correct. Because the p-value (0.0567) exceeds the stated level of significance (0.05), the null hypothesis cannot be rejected.

B is incorrect. A 5% confidence level does not allow the significance level to be increased beyond 5%.

C is incorrect. As the p-value (0.0567) exceeds the stated level of significance (0.05), the null hypothesis cannot be rejected.