A study was done on proctored and nonproctored tests. The results are shown in the table Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts|Proctored Nonproctored (a) and (b) below. 32 76 22 12 76 $ 11 14 22 91 a. Use a 0.05 significance level to lest the claim that students taking nonproctored tests gut a higher mean score than those taking proctored tests. What are the null and allemative hypotheses? OA Ho 141 =M2 OB. HO 141 12 OC. H. AP2 OD. Ho P1 =P2 The last statistic, I, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. O A. Reject He There is not sufficient evidence to support the claim that students taking nonproctored tests gel a higher mean score than those taking proctored losta. O B. Fail to reject Ho. There Is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those laking proctored tests. O C. Fail to reject Ho There is sufficient evidence to support the claim that students taking nonproctored tests got a higher mean score than those taking proctored tests. O D. Reject Ho- There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking procinred tests. b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. Round to two decimal places as needed.) Does the confidence interval support the conclusion of the test? because the confidence interval contains Next