Assume that both populations are normally distributed (a) Test whether , #₂ at the a=0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about ₁-2- (a) Test whether p₁ #₂ at the a=0.01 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. OA. Ho #₁ #₂ H₁ H₂ OB. Ho #2 H₁ H1>P₂ OC. H₂P₁ P₂ H₂>P₂ D. H₂ #1 #2 H₁ #₁ #2 Determine the P-value for this hypothesis test. P= 0.014 (Round to three decimal places as needed.) Should the null hypothesis be rejected? OA. Do not reject H₂, there is sufficient evidence to conclude that the two populations have different means. B. Do not reject H₁. there is not sufficient evidence to conclude that the two populations have different means. *C. Reject H₂, there is not sufficient evidence to conclude that the two populations have different means. OD. Reject Ho, there is sufficient evidence to conclude that the two populations have different means. (b) Construct a 99% confidence interval about ₁ -₂. We are 99% confident that the mean difference is between and (Round to two decimal places as needed. Use ascending order.) Co n X S Population 1 18 19.2 5.3 Population 2 18 23.4

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