Question

(1 point) (For the following question, you may use the "hand calculations" described in lecture. You must use at least four decimal places for all intermediate calculations and your final answer. If you use R prop.test(), remember to convert the X2 value to a Z value for your answer!) Independent random samples, each containing 80 observations, were selected from two populations. The samples from populations 1 and 2 produced 59 and 54 successes, respectively. Test Ho : (P1 – P2) = 0 against Hq : (91 – P2) 0. Use a = 0.01. (a) The test statistic is (b) The P-value is (c) The final conclusion is A. We can reject the null hypothesis that (P1 – P2) = 0 and accept that (p1 - P2) 70. B. There is not sufficient evidence to reject the null hypothesis that (p1 – P2) = 0.

Answer 1

Theo proportion test ni 80 IX = 59 P22 54/8020-675. n2=80 X2= 54. Pia 59180=0-7373 Ho! Pi-p2=0 Hi ! Ri-127 to -0.04 for 2 proportions. we will useztet c Critical 4, 2558. X1 + X2 2 59+542 0.7063. Ni+N2 80+80 = 0·7375-0.675 y 72 pr SP (1-P) (/n, t'/12) 10.7063(1-0.7063) (%90+420). > 0.969. corresponding phalus from 720.8682 0.3855 171=0.868 € z c= 2:58. neue hypothers not Rejected (c) The final conclusion in There is not sufficient au dence to liject mell hypothers. It