Jupiter Media used a survey to determine how people use their free time. Watching televisionwas the most popular activity selected by both men and women (The Wall Street Journal,January 26,...

Jupiter Media used a survey to determine how people use their free time. Watching televisionwas the most popular activity selected by both men and women (The Wall Street Journal,January 26, 2004). The proportion of men and the proportion of women who selectedwatching television as their most popular leisure time activity can be estimated from thefollowing sample data.Gender Sample Size Watching TelevisionMen 800 248Women 600 156a. State the hypotheses that can be used to test for a difference between the proportionfor the population of men and the proportion for the population of women whoselected watching television as their most popular leisure time activity.b. What is the sample proportion of men who selected watching television as their mostpopular leisure time activity? What is the sample proportion of women?c. Conduct the hypothesis test and compute the p-value. At a .05 level of significance,what is your conclusion?d. What is the margin of error and 95% confidence interval estimate of the differencebetween the population proportions?