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 10.149

37. Use the confidence interval from Exercise 36 to test, using level of significance , whether differs from the following:

  1. 0
  2. 0.01
  3. 0.05

10.3.37

(a) . The hypothesized value of 0 does not lie in the interval from Exercise 36, so we reject . There is evidence that 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 differs from 0. (b) . The hypothesized value of 0.01 does not lie in the interval from Exercise 36, so we reject . There is evidence that 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 differs from 0.01. (c) . The hypothesized value of 0.05 lies in the interval from Exercise 36, so we do not reject . There is insufficient evidence that 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 differs from 0.05.