In order to compare the means of two populations, independent random samples of 405 observations are Sample 1 Sample 2 selected from each population, with the results found in the table to the right Complete parts a through e below. x, =5.319 2 -5.281 $1 =157 $2 2 206 a. Use a 95% confidence interval to estimate the difference between the population means (P, -12 ). Interpret the confidence interval The confidence interval is ( 12.7 . 63.3 ) (Round to one decimal place as needed.) Interpret the confidence interval. Select the correct answer bolow. We are 95% confident that each of the population means falls outside of the confidence interval B. We are 95%% confident that the difference between the population means falls outside of the confidence interval. C. We are 95% confident that each of the population means is contained in the confidence interval. D. We are 95% confident that the difference between the population means falls in the confidence interval b. Test the null hypothesis Hy: (My - 12 ) = 0 versus the alternative hypothesis H.: (#1 - 12) #0. Give the significance level of the test, and interpret the result, Use 4 = 0.05 What is the lest statistic? z= 2.95 (Round to two decimal places as needed ) What is the observed significance level, or p-value? p-value . .003 Round to three decimal places as needed. ) Interpret the results. Choose the correct answer below. A Reject Ho. There is sufficient evidence that the population means are different. B. Do not reject Ho. There is sufficient evidence that the population means are different @ C. Reject He. There is not sufficient evidence that the population means are different. D. Do not reject Hy There is not sufficient evidence that the population means are different. c. Suppose the test in part b was conducted with the alternative hypothesis H. (#1-12) >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) A. The test statistic would be , and the null hypothesis would not be rejected in favor of the new alternative hypothesis. O B. The test statistic would be , and the null hypothesis would be rejected in favor of the now alternative hypothesis. 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 D. The observed significance level, or p-value, would be | , and the null hypothesis would be rejected in favor of the new alternative hypothesis