Question

A hypothesis test was conducted to test whether has been an increase in the proportion of students that attend college right after high school. The resulting p-value from that test was .000548. Given an alpha level of .05, which of the following is TRUE?

A. There is no evidence to show an increase in the proportion of students attending college because the p-value is less than the alpha level, therefore we will fail to reject the null hypothesis.
B. There is evidence to show an increase in the proportion of students attending college because the p-value is less than the alpha level, therefore we will reject the null hypothesis.
C. There is evidence to show an increase in the proportion of students attending college because the p-value is less than the alpha level, therefore we will fail to reject the hypothesis.
D. There is no evidence to show an increase in the proportion of students attending college because the p-value is less than the alpha level, therefore we will reject the null hypothesis.

Answer 1

D. There is no evidence to show an increase in the proportion of students attending college because the p-value is less than the alpha level, therefore we will reject the null hypothesis.

Explanation:

Assuming a significance level of α=0.05, since 0.000548<0.05, we reject the null hypothesis and conclude that there is no evidence to show an increase in the proportion of students attending college. So option D is correct.