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32. Suppose a survey is conducted five years ago at a university showed that there are...

32. Suppose a survey is conducted five years ago at a university showed that there are 500 students out of all the 5000 students would like to go graduate school after they obtained the bachelor’s degree. This year a new survey was conducted on a random sample of 500 students from this university, and it was found that 80 of them would like to go graduate school after they graduate. Do these data provide convincing evidence to suggest that the percentage of students who would like to pursue higher degree has changed over the last five years? This university would like to find whether the change has been significantly increased or not.

a) Parametric or nonparametric hypotheses?

b) Z distribution, t distribution, chi-square test or hypothesis test of a proportion

c) Please indicate the null hypotheses.

d) Please indicate the alternative hypotheses

e) Please calculate the stand error? (If it is a chi-square test, type NA for this question)

f) If z table will be used, type NA for this question. If t table will be used, indicate the degree of freedom.

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