Question 4 A large university claims that the average cost of housing within 5 miles of the campus is $7500 per school year. A high school student is preparing her budget for her freshman year at the university. She is concerned that the university 's estimate is too low. She obtains a random sample of 36 records and computes the average cost is $7675. Based on earlier data, the population standard deviation is $ 500. Use a=0.05 level of signicance. a) Step 1: State the null and alternative hypotheses. b) Step 2: Write down the appropriate test statistic and the rejection region of your test (report 2 critica1(s)) c) Step 3: Compute the value of the test statistic (2 observed) (1) Step 4: State your conclusion (in one sentence, state whether or not the test rejects the null hypothesis and, in another sentence, apply the results to the problem). e) Compute the p- value for this test. Is the evidence strong or weak in supp01ting the alternative hypothesis