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Hypothesis test for two population proportions:
Jupiter Media used a survey to determine how people use their free time. Watching television was the most popular activity selected by both men and women. The proportion of men and the proportion of the women who selected watching television as their most popular leisure time activity can be estimated from the following sample data.
Gender
Sample size
Watching television
Men
800
248
Women
600
156
A) State the hypotheses that can be used to test for a difference between the proportion for the population of men and the proportion for the population of women who selected watching television as their most popular leisure time activity.
B) What is the sample proportion of men who selected watching television as their most popular leisure time activity? What is the sample proportion of women?
C) Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion?
D) What is the margin of error and 95% confidence interval estimate of the difference between the population proportions?
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