In 2014, students in an advanced statistics course at uc berkeley conducted an anonymous survey about use of cognition-enhancing drugs among college males. one survey group of males included members from a fraternity, and the other survey of males group included no fraternity members.

the standard error formula for the difference between sample proportions is

calculate the standard error for a survey comparing proportions of cognition-enhancing drug use of fraternity members to non-fraternity members, where
p
1
= 0.32,
n
1
= 123,
p
2
= 0.25,
n
2
= 92. round all calculations to the thousandth decimal place.