A researcher is interested in finding whether men's and women's attitudes on the environment differ. To do so 100 men and 100 women were randomly sampled and asked: "Do you think the environment is a major concern currently?" Of those sampled, 67 women and 53 men responded that they believed it is. Suppose a 96.06% confidence interval for the study was (0.02, 0.26). You may assume sample 1 corresponds to women and sample 2 corresponds to men. You may also assume that all assumptions and checks have been verified.
a- Find a confidence interval for the difference between the corresponding true proportions of men and women who think the environment is a major concern.