An instructor claims that more than 75% of MATH 1340 students dislike discussion questions. A large random sample of students in MATH 1340 is obtained, and it yields a test statistic of z = 1.15.* Test the claim at the 0.06 significance level using both the critical value and P-value methods, and state your conclusion in nontechnical terms. Your DQ Response must list all the following items: The null and alternative hypotheses in symbolic form, with the claim identified as one of them The value of LaTeX: \alpha The test statistic The critical value(s) The P-value The decision of your test, including brief rationale using both the CV and P-value methods The conclusion of your test, stated in nontechnical language For example, your DQ Response should look similar to the following, except with values from the DQ given above. H0: p = 0.5 vs. H1: p LaTeX: e 0.5, where the claim (p = 0.5) is represented by H0 LaTeX: \alpha = 0.02 TS: z = 1.15 The test statistic (TS) is given to us directly in the DQ, so everyone better get this part correct! :) CV: z = LaTeX: \pm2.33 P-value = 0.2501 CV method: The TS does not fall in either rejection region (z < -2.33 or z > 2.33), so we fail to reject H0. P-value method: Since the P-value (0.2501) is greater than LaTeX: \alpha (0.02), we fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that 50% of adults own a pet. *In case you want to check the calculation of the test statistic on your own using the methods from Section 6.2, assume the sample had 64 students, 81% of which said they dislike discussion questions