11) For a survey, individuals were asked if people with "extreme views" should be allowed to give speeches at public events or not. We want to see if there is a difference between male and female respondents. Among 573 males, 459 said "allow". Among 719 females, 552 said "allow". a) If PM and Pf are taken to be the proportions of all males and all females respectively who would choose to allow beople with extreme views to speak at public events, state the null and alternative hypotheses to be tested. b) Calculate the sample proportions of males and females who would "allow" these speakers. c) Calculate the pooled sample proportion of respondents who would allow these speakers.

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11) For a survey, individuals were asked if people with "extreme views" should be allowed to give speeches at
public events or not. We want to see if there is a difference between male and female respondents. Among
573 males, 459 said "allow". Among 719 females, 552 said “allow".
a) If PM and Pf are taken to be the proportions of all males and all females respectively who would choose to allow
people with extreme views to speak at public events, state the null and alternative hypotheses to be tested.
b) Calculate the sample proportions of males and females who would "allow" these speakers.
c) Calculate the pooled sample proportion of respondents who would allow these speakers.
d) Perform a z test to compare the proportions of males and females who would allow the speakers. What is the P-
value? Discuss its significance in the context of this problem.
Transcribed Image Text:11) For a survey, individuals were asked if people with "extreme views" should be allowed to give speeches at public events or not. We want to see if there is a difference between male and female respondents. Among 573 males, 459 said "allow". Among 719 females, 552 said “allow". a) If PM and Pf are taken to be the proportions of all males and all females respectively who would choose to allow people with extreme views to speak at public events, state the null and alternative hypotheses to be tested. b) Calculate the sample proportions of males and females who would "allow" these speakers. c) Calculate the pooled sample proportion of respondents who would allow these speakers. d) Perform a z test to compare the proportions of males and females who would allow the speakers. What is the P- value? Discuss its significance in the context of this problem.
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