The Journal of Communication, Winter 1978, reported on a study of viewing violence on

Chapter 8, Problem 8.69

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The Journal of Communication, Winter 1978, reported on a study of viewing violence on TV. Samples from populations with low viewing rates (1019 programs per week) and high viewing rates (4049 programs per week) were divided into two age groups, and Y , the number of persons watching a high number of violent programs, was recorded. The data for two age groups are shown in the accompanying table, with ni denoting the sample size for each cell. If Y1, Y2, Y3, and Y4 have independent binomial distributions with parameters p1, p2, p3, and p4, respectively, find a 95% confidence interval for (p3 p1)(p4 p2). This function of the pi values represents a comparison between the change in viewing habits for young adults and the corresponding change for older adults, as we move from those with low viewing rates to those with high viewing rates. (The data suggest that the rate of viewing violence may increase with young adults but decrease with older adults.) Age Group Viewing Rate 1634 55 and Over Low y1 = 20 n1 = 31 y2 = 13 n2 = 30 High y3 = 18 n3 = 26 y4 = 7 n4 = 28