Moderate# Constructing a $2$ Proportion $z$-Interval: High School Break Up

APSTAT-VLXVWY

Independent random samples of $50$ boys and $50$ girls in a school were asked if they are depressed for more than a week after they got broken up with by their significant other. Of the $50$ boys, $26$ said yes, and of the $50$ girls, $35$ said yes.

Which of the following is a $95\%$ confidence interval for the difference in the proportion of boys compared to the proportion of girls who are depressed for more than a week after they have been broken with by their significant other in this school?