A random sample by the National Institutes of Health included 2253 men and 2629 women between the ages of 19 and 25 to determine the proportion of men who still live with their parents, p1, and the proportion of women, p2, who still live with their parents in this age group. The survey found that 986 of the men still live with their parents. What is the margin of error for a 95% confidence interval on the true proportion of men who still live with their parents? (Keep all computations accurate to four decimal places.)