Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 11 - Review - Test - Page 585: 12

Answer

$z_0\gt z_{\frac{α}{2}}$: null hypothesis is rejected. There is enough evidence to conclude that there is a difference in the proportion who favor the death penalty and favor abortion.

Work Step by Step

$H_0:~p_1=p_2$ versus $H_1:~p_1\ne p_2$ $z_0=\frac{|f_{12}-f_{21}|-1}{\sqrt {f_{12}+f_{21}}}=\frac{|2549-11685|-1}{\sqrt {2549+11685}}=76.57$ $z_{\frac{α}{2}}=z_{0.025}$ If the area of the standard normal curve to the right of $z_{0.025}$ is 0.025, then the area of the standard normal curve to the left of $z_{0.025}$ is $1−0.025=0.975$ According to Table V, the z-score which gives the closest value to 0.975 is 1.96. Since $z_0\gt z_{\frac{α}{2}}$, we reject the null hypothesis.
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