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 2013. For this survey, the null hypothesis was that the proportion of students with graduated with student loan debt equals 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 of the new survey showed a p-value of 0.039. Which of the following statements is correct? There could be more than one. 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.

Question

Mathematics

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21 May, 19:01

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 2013. For this survey, the null hypothesis was that the proportion of students with graduated with student loan debt equals 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 of the new survey showed a p-value of 0.039. Which of the following statements is correct? There could be more than one. 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.

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Answers (1)

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Ingrid Foley · Answer 1

Option A and C

Step-by-step explanation:

From the data given above, with a p value of 0.039 which is way less than 0.05, and with a less p value, the results are statistically significant and then we can reject the null hypothesis and conclude that the the is statistically significant evidence to show that the proportion of students with student loan debt does not equal 69%.