Teachers at an elementary school are worried that the students are not getting enough physical activity outside of school. They decide to ask a group of 1365 students if they participate in physical activities outside of school. 798 students said that they are physically active outside of school.

What distribution is used in constructing confidence intervals in this problem?

What is Maximal Margin of Error (E) at 90% confidence?

Construct a 90% confidence interval for the true proportion of interest.