Confidence Interval for Difference between Two Population Proportions

Alex thinks that at the U of I, male students tend to eat out more often than female students. To test this hypothesis, he randomly selects a group of39male students and a group of37female students who have access to a kitchen (living off-campus or in an apartment on-campus). He asks each of them if they eat out more than 5 meals per week. Of the39male students,19said yes. Of the37female students,22said yes.

Find the95% confidence-intervalfor the true difference in the population proportions of male and female students at the U of I who eat out more than 5 meals per week (male - female).

Include3 digitsafter the decimal point.