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A Marketing Strategist Would Like to Estimate the Difference Between

Question 3

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A marketing strategist would like to estimate the difference between the proportion of men who list "Action" as their favorite movie genre and the proportion of women who list "Action" as their favorite genre. The strategist gathers a random sample of 300 men and 200 women. Of the men, 156 indicate that "Action" is their favorite genre; of the women, 87 indicate that "Action" is their favorite.
a.Determine if the large sample confidence interval procedures can be used for estimation.
b.Create a 95% confidence interval for the difference of the population proportions.
c.Interpret the confidence interval.
d.Based on the confidence interval, is it possible that the two population proportions are equal?

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