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2. A popular college statistics professor at a SUNY community college states that 60% of all his previous statistics students stated that his liberal arts statistics course has helped them in their profession. A reluctant college administrator decides to test the professor's claim against the suspicion that the professor's percentage is too high. The administrator randomly surveyed 900 of the college professor's previous statistics students and determines that 518 students reported the professor's statistics course did help them in their profession. The administrator decides to perform the 5-step hypothesis test at a = 5% to determine if it is reasonable to reject the statistics professor's claim. I. State the hypotheses (in words & symbols): Ho: Ha: MAT 102 DAH Test# 2Form Z NAME 3 Il. Determine the model to test Ho a) Can you use a normal distribution for the Hypothesis Testing model to perform this test? Explain the reason for your answer. If not, then what distribution would you use? b) Using the appropriate notation, state the MEAN & STD ERROR of the sampling distribution: Mean: (to 2 decimal places) STD Error: (to 2 decimal places) l1l. Decision Rule: State the decision rule: IV. Analyze the sample data: Using the appropriate notation, state the sample result used to perform the hypothesis test, the p-value, and the test statistic. a) sample result (to 4 decimal places) is: b) p-value(to 4 decimal places) is c) test statistic (to 2 decimal places) is: d) Draw the Hypothesis Testing Model below with decision rule, critical value(s) & test statistic labeled on diagram