Question

In this hypothesis test for a proportion:

a. Reject the null hypothesis because 0.40 > 0.10. There is enough evidence that the proportion of nursing majors is greater than 40%.
b. Fail to reject the null hypothesis because 0.40 > 0.10. There is NOT enough evidence that the proportion of nursing majors is greater than 40%.
c. Reject the null hypothesis because the p-value = 0.001 is less than the significance level α = 0.05. There is enough evidence that the proportion of nursing majors is greater than 40%.
d. Fail to reject the null hypothesis because the p-value = 0.001 is less than the significance level α = 0.05. There is NOT enough evidence that the proportion of nursing majors is greater than 40%.

Answer 1

The correct option is c. Reject the null hypothesis because the p-value = 0.001 is less than the significance level α = 0.05. There is enough evidence that the proportion of nursing majors is greater than 40%.

Step-by-step explanation:

The hypothesis test for a proportion presented in option c is correct. In this case:

1. The null hypothesis is rejected because the p-value of 0.001 is less than the significance level of 0.05.
2. Therefore, there is enough evidence to conclude that the proportion of nursing majors is greater than 40%.