Question

# With the closing of the local restaurant on campus, a survey of both students and professors...

With the closing of the local restaurant on campus, a survey of both students and professors was completed to see if extended food services should be moved into the restaurant space. Of the 212 professors, 102 said they would like an extra food service location. Of the 184 students, 101 would like an extra food location. Is there a difference between the feelings of the professors and students. Perform a Hypothesis Test to find this out.

a) (2 points) Construct the Hypothesis Test for this study.

b) (2 points) Find the test statistic of the study.

c) (3 points) Find the standard error. Show all work in your calculations.

d) (1 point) Find the z-score of your study.

e) (2 points) Find the p-value of your study.

f) (2 points) Explain your conclusions.

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