Question

these d eviation of the district of before order CRIJ 4377 Assignment 10 Chapter 7 Testing Differences Between Means (the 2" Half) Name: 20 points total. 1. Two-sample test of proportions (6 points) A pollster interviews by telephone a national sample of adults age 18 and older about their attitudes toward capital punishment. Follow the 6 steps to test the significance of the difference between proportions of men and women who support the death penalty. ( a 05; two-tailed test: Show your work step by step) Refer to Slides #3-7 of the video for a similar example. Men Women Favor 502 572 Oppose 105 209 Total N=607 N=781 1) State the H, and H, (expressed in both words and mathematical term) 2) Compute the two sample proportions and the combined sample proportion. 3) Compute the standard error of the difference.

Answer 1

3) Huyspa theses I Ho: Difference between two proportions is not significant. Hai Difference between two proportions is. significant j.e. Ho: Pg = P2 - v/s Hy: Pat P2 2) Given table is - Men I women favora - 1 502 t 5727 Oppose 105 1209 Total = 607 2 = 7811 502 0.8270 Ps= proportion of men = 3 607. Pro proportion of women = 572 = 0.7324 we have formula for pulled sample poportion - na patha P2 607 (0.8270) + 781 (0.7324) 607+781 502 +572 1388 p =0.7738 E 3) Standard Error of the difference. SE : PCI-p) the throa) = /(0.973870.2262407 ** E 170.1750) 0.002927. SEE 00186 - V0.0005120 -0.07157 781 nafn.

SE= 0.07157 s) test statistics is Zor=. Pa-p2 SE. 6.8270 -0.7324 0.07157 Zcal = 0.ogue 0.07157 [Zeal = 1.3217) z value from table Ztab=4.17861 Zcal < 2tab hence we accept to. Therefore, Proportions of men & proportion of women doesn't differ significantly