Two-Sample Problems for Proportions

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Question description

In 2010, 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 408 respondents who considered themselves Democrats, 290 said, "Allow," whereas among the 287 respondents who considered themselves Republicans, 231 said, "Allow." Is there a difference between the proportion of Democrats and the proportion of Republicans that would allow an antireligionist to speak?

The pooled sample proportion of respondents who would allow an antireligionist to speak is

pˆ (±0.0001) =

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