some 24% of the men compared to 62% of the women responded yes suppose that 150 women and 200 men were interviewed construct a 95% confidence interval

You will need a confidence interval formula for the difference of two population proportions.

Here is one such formula:

CI95 = (p1-p2) ± 1.96 [√(p1q1/n1 + p2q2/n2)]

Your data:

p1 = .62
q1 = 1 - p1 = .38
p2 = .24
q2 = 1 - p2 = .76
n1 = 150
n2 = 200

Substitute your data into the formula and calculate the confidence interval.