Question

Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether P1 * P2. Sample data are x, = 28, ny = 254, X2 = 38, and n2 = 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below. OB. Ho: P = P2 versus HP1 P2 O A. Ho: P = P2 versus H, :P<P2 OC. Ho: P = 0 versus H: P1 = 0 OD. Ho: P1 = P2 versus H: P1 P2 (b) The test statistic zo is (Round to two decimal places as needed.) (c) The P-value is (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. O A. Reject the null hypothesis because there is sufficient evidence to conclude that pe #P2- OB. Do not reject the null hypothesis because there is sufficient evidence to conclude that p, >P2 O C. Do not reject the null hypothesis because there is not sufficient evidence to conclude that P1 P2. OD. Reject the null hypothesis because there is not sufficient evidence to conclude that P1 P2

Answer 1

12:20 A er ve Bil 68% Book (10) - Saved fx < ד G 1 : 2 254 3 p1 hat p2 hat p hat 302 A B C De Question a) Ho: p1 = p2 Vs Ha : p1 # p2 0.11 Formula = x1/n1 n1 0.13 Formula = x2/n2 n2 0.12 Formula =(p1 hat + p2 hat) / 2 x1 Appropriate test is Z test X2 b) Test statistic, Zo -0.57 c) P-value 0.569 Conclusion : Optionc Test statistic Formula 4 28 38 6 7 8 9 13 14 15 16 Pi – P2 17 z - 18 19 1 1 20 p(1 – ) 21 N2 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 II 53 TII O <