A survey by Frank N. Magid Associates Inc. concluded that men, of any age, are twice as likely as women to play console video games. The survey was based on a sample of men and women ages 12 and older. A file titled Gameboys contains responses that would result in the findings obtained by Magid Associates for the 18- to 34-year-old age group.
a. Calculate a 99% confidence interval for both the male and female responses.
b. Using the confidence intervals in part a, provide the minimum and maximum ratio of the population proportions.
c. Does your analysis in parts a and b substantiate the statement that men in this age group are twice as likely to play console video games? Support your assertions.