(1 point) In order to compare the means of two populations, independent random samples of 182 observations are selected from each population. with the following results: Sample i Sample 2 31:]. 52:3 31 = 180 32 = 140 (a) Use a 99 % condence interval to estimate the difference between the population means (pl 7 pg). 3 (#1 i #2) S (b) Test the null hypothesis: Ho : (#1 #2} : 0 versus the alternative hypothesis: Hy1 : (1.1.1 p2) s 0. Using a : 0.01. give the following: (i) the test statistic z : (ii) the positive critical 2 score (iii) the negative critical 2 score The final conclusion is 0 We can reject the null hypothesis {pl 7 p2) = 0 in favor ofthe alternative (#1 7 p52) 75 0. ') There is not sufficient evidence to reject the null hypothesis (#1 7 p2) = 0. to) Test the null hypothesis: H0 : (p1 p2) = 24 versus the alternative hypothesis: Ha : (pl p32) 7 24. Using a = 0.01, give the following: (i) the test statistic z 2 (ii) the positive critical 2 score (iii) the negative critical 2 score The final conclusion is Q We can reject the null hypothesis {#1 p2) : 24 in favor of the alternative (#1 11.2) 7 24. Q There is notsufficient evidence to reject the null hypothesis (#1 pig) : 24