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A national poll by the Institute for College Access and Success showed that in 6

ID: 3226148 • Letter: A

Question

A national poll by the Institute for College Access and Success showed that in 69% of college graduates from public and nonprofit colleges in 2013 had student loan debt. Dr. Blackman wanted to find out if her public nonprofit university had a lower proportion of students who graduated with student loan debt in 2003. For this survey, the null hypothesis was that the proportion of students with graduated with student loan debt equal 69% and the alternative hypothesis is that the proportion with student loan debt does not equal 69%. The significance level for this test was 0.05. The results of the hypothesis test for the new survey showed a p-value of 0.039. Which of the following statements is correct? Check all that apply? A. The results were statistically significant. B. The results were not statistically significant. C. The null hypothesis should be rejected. D. The null hypothesis should be accepted. E. The null hypothesis cannot be rejected.

Explanation / Answer

The alpha value taken is 0.05 and the p-value came out to be 0.039 which is less than the alpha value and hence we would reject the null hypothesis.

Answer is C

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