2. The data to the right show the average retirement ages for a random sample of workers in Country A and a random sample of workers in Country B. Complete parts a and b. Country A 62.1 years 30 4.1 years Country B 64 4 years 30 54 years a. Perform a hypothesis test using a 0.01 to determine if the average retirement age in Country B is higher than it is in Country A. Let population 1 be the workers in Country A and population 2 be the workers in Country B. Identify the null and alternative hypotheses Sample mean Sample size Population standard deviation Choose the correct answer below Ho: HI: Ho: HI: Ho: HI : - P220 - P220 HO _ HI: HO _ HI: HO _ HI: VII b12=o P2>0 b12=o Calculate the appropriate test statistic The test statistic is (Round to two decimal places as needed.) Determine the appropriate critical value(s). The critical value(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed) Since the test statistic (1) in the rejection region, (2) Ho There is (3) evidence to conclude that the average retirement age in Country B is higher than it is in Country A. b. Determine the p-value and interpret the results The p-value is (Round to three decimal places as needed.) Since the p-value is (4) (l) C) does not fall C) falls (2) O do not reject C) reject (3) H There is C) sufficient C) insufficient (6) (4) evidence to conclude that the average retirement age in Country B is higher than it is in Country A. C) greater than C) equal to C) less than (5) O reject C) do not reject (6) C) sufficient C) insufficient