Question

9. The Arbitron corporation tracks trends in radio listening. In their publication Radio Today, Arbitron reported that 92% of 18-24 year old males listen to the radio each week, while 87% of males 65 years and older listen to the radio each week. Suppose each sample size was 1000.

1. Is it appropriate to perform Z inference for the difference in the population proportions? Why or why not?
2. What do p₁ and p₂ represent?
3. What is the difference between p₁ and p₁ with a bar over it?
4. Calculate the margin of error for a 95% confidence interval for p₁ – p_2.
5. Construct a 95% confidence interval for p₁ – p₂.
6. Using a level of significance α = 0.05 test whether p₁ – p₂ differs from α
7. Test using level of significance α = 0.05 whether the proportion of 18-24 year old males who listen to the radio each week is greater than the proportion of males 65 years and older who do so.

Answer 1