Chapter 9.1, Problem 28E

To determine

Thecorrect value of the significant level to get P-value of 0.031 from (a) accept $H_o$ at the $\alpha =0.05$ significance level, (b) reject $H_o$ at the $\alpha =0.05$ significance level,(c) reject $H_o$ at the $\alpha =0.01$ significance level,(d) fail to reject $H_o$ at the $\alpha =0.05$ significance level,(e) fail to reject $H_a$ at the $\alpha =0.05$ significance level.

Answer to Problem 28E

The correct option is (b).

Explanation of Solution

Given Information:

  $\text{P-value}=0.031$ .

If the P-value is less than the significant level $\alpha$ , then reject the null hypothesis $H_o$ , else fail to reject.

For $\alpha =0.05$ .

  $\text{P-value}=0.031<0.05$ . Thus, $H_o$ is rejected.

For $\alpha =0.01$ .

  $\text{P-value}=0.031>0.01$ . Thus, fail to reject $H_o$ .

Hence, the correct option is (b).