Assume that both populations are normally distributed. (a) Test whether , # 2 at the o=0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about 1 - H2. (a) Test whether My # #2 at the o=0.01 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. O A. Holy = H2 H1:1 1 # 12 OB. Holy # H2 OC. Holy # H2 Hy: 14 1 >H2 OD. HOM1 = H2 H1: ly > H2 Detemine the P-value for this hypothesis test. P= (Round to three decimal places as needed.) Should the null hypothesis be rejected? O A. Reject Ho, there is not sufficient evidence to conclude that the two populations have different means. O B. Do not reject Ho, there is sufficient evidence to conclude that the two populations have different means. O C. Do not reject Ho, there is not sufficient evidence to conclude that the two populations have different means. O D. Reject Ho, there is sufficient evidence to conclude that the two populations have different means. (b) Construct a 99% confidence interval about My - H2. We are 99% confident that the mean difference is between | |and Round to two decimal places as needed. Use ascending order.)