According to a U. S. news poll, 38% of students in the class of 2013 had done an internship during their time as an undergraduate student. Dana is interested in finding out whether students at her university had an internship rate that was higher than the national average. She obtained a list of 25 randomly selected students from the population of all students at her university by requesting this information from the university’s institutional research office. She collected the responses and calculated that the proportion for her university was 43%. Which one of the following statements about the z-test is correct? It is not safe to use the z-test for p, since the sample is not a random sample from the entire population (or cannot be considered as one).
It is not safe to use the z-test for p, since n * (1 ? po) is not large enough.
It is safe to use the z-test for p.
It is not safe to use the z-test for p, since n * po is not large enough.
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? Check all that apply.
The results were statistically significant.
The results were not statistically significant.
The null hypothesis should be rejected.
The null hypothesis should be accepted.
The null hypothesis cannot be rejected.