A statistics professor is curious if class example references can impact test grades. She's read that interesting topics are associated with greater engagement from students, and might influence memory. Thus, she decides to modify her class examples to include interesting pop-culture references. After the class is finished, she finds that her class of 37 students obtains an average grade of 79. Assuming a population mean of 75 and a standard deviation 9, use the four steps of hypothesis testing with an alpha of 0.05 and a two-tailed test, to test the hypothesis that pop- culture references can have an impact on test grades. Based on this information, answer the following questions using the appropriate hypothesis test. What is the appropriate hypothesis test? z-test- Step #1: State the Null (H) and Alternative (H) Hypotheses Ho: HPsychology H, HPsychology '=' HPop-Culture '' HPop-Culture Step #2: Set the Rejection Criteria a = 0.05 2 -tailed test (Note: Type in number(s) not letter(s).) z = CV = 1.96 Step #3: Collect and Compute Sample Statistics = d 75 M = 79 (Round to the hundredths place) M = 1.48 (Round to the hundredths place) 9 d = (Round to the hundredths place) x (Round to the hundredths place) (Round to the hundredths place) obt = 0.66 0.44 Step #4: Make a Decision Decision: Fail to Reject HO