Males listening to the Radio. Use the following information for Exercises 32–40: The Arbitron Corporation tracks trends in radio listening. In their publication Radio Today, Arbitron reported that 92% of 18- to 24-year-old males listen to the radio each week, whereas 87% of males 65 years and older listen to the radio each week. Suppose each sample size was 1000.

Question 10.147

35. Calculate the margin of error for a 95% confidence interval for . Explain what this number means.

10.3.35

0.02678. The point estimate of the difference in the population proportion of 18- to 24-year-old males who listen to the radio each week and the population proportion of males 65 years and older who listen to the radio each week will lie within of the difference in population proportions 95% of the time.