Complete parts a through e below. In order to compare the means of two populations, independent random samples of 405 observations are selected from each population, with the results found in the table to the right. Sample 1 Sample 2 X1 = 5,273 X2 = 5,242 $1 = 140 $2 = 196a. Use a 95% confidence interval to estimate the difference between the population means (H1 - H2 ) . Interpret the confidence interval. The confidence interval is (.). (Round to one decimal place as needed.) Interpret the confidence interval. Select the correct answer below. O A. We are 95% confident that each of the population means is contained in the confidence interval. O B. We are 95% confident that the difference between the population means falls outside of the confidence interval. O C. We are 95% confident that the difference between the population means falls in the confidence interval. O D. We are 95% confident that each of the population means falls outside of the confidence interval. b. Test the null hypothesis Ho: (H1 - H2) =0 versus the alternative hypothesis Ha: (H1 - H2) #0. Give the significance level of the test, and interpret the result. Use a = 0.05. What is the test statistic? z= (Round to two decimal places as needed.) What is the observed significance level, or p-value? p-value = (Round to three decimal places as needed.) Interpret the results. Choose the correct answer below. O A. Reject Ho. There is not sufficient evidence that the population means are different. O B. Do not reject Ho. There is sufficient evidence that the population means are different. O C. Reject Ho. There is sufficient evidence that the population means are different. O D. Do not reject Ho. There is not sufficient evidence that the population means are different.c. Suppose the test in part b was conducted with the alternative hypothesis Ha: (H1 - H2 ) > 0. How would your answer to part b change? Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) O A. The observed significance level, or p-value, would be , and the null hypothesis would be rejected in favor of the new alternative hypothesis. O B. The test statistic would be , and the null hypothesis would not be rejected in favor of the new alternative hypothesis. O C. The observed significance level, or p-value, would be , and the null hypothesis would not be rejected in favor of the new alternative hypothesis. O D. The test statistic would be , and the null hypothesis would be rejected in favor of the new alternative hypothesis. d. Test the null hypothesis Ho: (H1 - H2 ) = 22 versus Ha: (H1 - H2) #22. Give the significance level and interpret the result. Use a =0.05. Compare your answer to the test conducted in part b. What is the test statistic? z= (Round to two decimal places as needed.) What is the observed significance level, or p-value? p-value = (Round to three decimal places as needed.) Interpret the results. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence to conclude that (H1 - H2 ) is not equal to 22. O B. Reject Ho. There is not sufficient evidence to conclude that (H1 - H2 ) is not equal to 22. O C. Do not reject Ho. There is sufficient evidence to conclude that (H1 - H2) is not equal to 22. O D. Do not reject Ho. There is not sufficient evidence to conclude that (H1 - H2 ) is not equal to 22