Problems 5 and 6 refer to the following setting. A sample survey interviews SRSs of 500 female college students and 550 male college students. Researchers want to determine if there is a difference in the proportion of male and female college students who worked for pay last summer.

5. The researchers report that the results were statistically significant at the 5% level, but not at the 1% level. Which of the following is the most appropriate conclusion?

a. Because the P-value is less than 5%, reject H₀. There is convincing evidence that the proportion of male college students who worked for pay last summer is the same as the proportion of female college students who worked for pay last summer.

b. Because the P-value is less than 5%, reject H₀. There is convincing evidence that the proportion of male college students who worked for pay last summer is different from the proportion of female college students who worked for pay last summer.

c. Because the P-value is less than 5%, reject H₀. There is convincing evidence that the proportion of male college students in the study who worked for pay last summer is different from the proportion of female college students in the study who worked for pay last summer.

d. Because the P-value is less than 5%, fail to reject H₀. There is not convincing evidence that the proportion of male college students in the study who worked for pay last summer is different from the proportion of female college students in the study who worked for pay last summer.

e. Because the P-value is less than 5%, fail to reject H₀. There is not convincing evidence that the proportion of male college students who worked for pay last summer is different from the proportion of female college students who worked for pay last summer.

6.Based on the results of the study, which of the following must be true?

a. A 90% confidence interval for P_m-P_f will contain 0.

b. A 95% confidence interval for P_m-P_f will contain 0.

c. A 95% confidence interval for P_m-P_f will contain 0.05.

d. A 99% confidence interval for P_m-P_f will contain 0.

e. A 99% confidence interval for P_m-P_f will contain 0.01.