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 ProctoredNonproctored (a) and (b) below. a. Use a 0.01 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests What are the null and altemative hypotheses? OC. (Round to two decimal places as needed.) The test statistic, t, is The P-value is (Round to three decimal places as needed.) State the conclusion for the test. C) A. Reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests C) B. Fail to reject HW There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C) C. Reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests C) D. Fail to reject HW There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored 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 33 768 1082 30 85