Reference no: EM132483898

A company is considering the purchase of advertising time on a local radio show and will do so if it believes that the percent of all radio listeners that listen to the show is greater than 30% = 0.30. To make this decision, the company randomly selects 120 regular radio listeners and asks each whether he orshe listens to the show. Of these 120 listeners, 42 report that they listen to the show.

1. Explain why the data in this problem are considered qualitative -categorical.

2. Using these data, estimate (with 95% confidence) the proportion of all local radio listeners that listen to the show.

3. Based upon your interval, do you believe that more than30% of all local radio listeners listen to the show? Explain your reasoning.

4. Determine whether or not the procedure in part B is valid.

5. How manylisteners should be selected to estimate the proportion of all local radio listeners that listen to the show with 95% confidence and within a margin of error of 3%?Use the proportion from the initial sample as your initial guess.