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Use the following information for questions 16 - 20: Free speech? The 1958 Detroit Area Study was an important investigation of the influence of
Use the following information for questions 16 - 20: Free speech? The 1958 Detroit Area Study was an important investigation of the influence of religion on everyday life. The sample "was basically a simple random sample of the population of the metropolitan area" of Detroit, Michigan. Of the 656 respondents, 267 were white Protestants and 230 were white Catholics. The study took place at the height of the cold war. One question asked if the right of free speech included the right to make speeches in favor of communism. Of the 267 white Protestants, 104 said "Yes," while 75 of the 230 white Catholics said "Yes." The researcher believes that white Protestants on average would answer "Yes" more often than white Catholics. 16. State the null and alternative hypotheses. 17. State the proportions of the white Protestants (P1) and white Catholics (P2). Write proportions in percent form, rounded to 1 decimal place 18. Calculate the pooled proportion of this scenario. (p) 19. Compute the z-test statistic (round to 2 decimal places) and corresponding p-value (round to 3 decimal places). 20. What conclusion is drawn from the hypothesis test at a 0.05 significance level?
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