Question: Suppose that a 95% confidence interval for the proportion of men who experience sleep apnea (irregular breathing during sleep) is .11 to .17 and a 95% confidence interval for the proportion of women who experience sleep apnea is .04 to .08.
a. On the basis of these intervals, is it reasonable to conclude that the population proportions experiencing sleep apnea differ for men and women? Explain.
b. Find a 95% confidence interval for the difference in proportions of men and women in the population who experience sleep apnea.
c. On the basis of the interval you found in part (b), is it reasonable to conclude that the population proportions experiencing sleep apnea differ for men and women? Explain.