Question

ch 23* in 2012, respondents to the general social survey were asked: \there are always some people whose ideas are considered bad or dangerous by other people. for instance, somebody who is against churches and religion. if such a person wanted to make a speech in your (city/town/community) against churches and religion, should he be allowed to speak, or not?\ among the 573 male respondents, 459 said, \allow,\ whereas among the 719 female respondents, 552 said, \allow.\ is there a difference between the proportion of males and the proportion of females who would allow an anti - religionist to speak? take ( p_m ) and ( p_f ) to be the proportions of all males and females who would allow an anti - religionist to speak. the sample proportions of males and females who would allow an anti - religionist to speak are ( h_0:p_m = p_f ) versus ( h_a:p_m>p_f ). ( h_0:p_m = p_f ) versus ( h_a:p_m<p_f ). ( h_0:p_m = p_f ) versus ( h_a:p_m
eq p_f ).

Explanation:

We are testing for a difference between the proportions of males and females who would allow an anti - religionist to speak. The null hypothesis \(H_0\) assumes no difference (\(p_M = p_F\)). The alternative hypothesis \(H_a\) should account for any difference (not just greater than or less than), so \(p_M
eq p_F\).

Answer:

\(H_0: p_M = p_F\) versus \(H_a: p_M
eq p_F\)