Listed below are the numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.01 significance level to test the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation. All measurements are in years. Click the icon to view the table of longevities of archbishops and monarchs. e ents CRED What are the null and altemative hypotheses? Assume that population 1 consists of the longevity of archbishops and population 2 consists of the longevity of monarchs OA M₂: P4 P₂ M₂: ₂ B. Hy: P P₂ H₂: P1 P₂ OD. M₂: *₂ H₁: P₁ P2 OC. M₂: Hy SP₂ H₁ H1 H₂ The test statistic is -2.82 (Round to two decimal places as needed.) tents The P-value is 0.004. (Round to three decimal places as needed.) cess State the conclusion for the test. Library tions OA Fail to reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs OB. Reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs C. Reject the null hypothesis. There is sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs OD. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that archbishops have lower mean longevity than monarchs Similar question Help me solve this View an example Get more help. Listed below are the numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.10 significance level to test the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation. All measurements are in years. Click the icon to view the table of longevities of archbishops and monarchs G What are the null and alternative hypotheses? Assume that population 1 consists of the longevity of archbishops and population 2 consists of the longevity of monarchs OB. H₂₂ OA. H₂:₂₂ H₁: Pg ₂ Hy: PyP₂ O.G. Hy: Py = P₂ D. H₂: P1 P₂ P2 H₁: P H₁: Pg 2 The test statistic is (Round to two decimal places as needed.) ts as rary hcorr