2014, students in an advanced Statistics course at UC Berkeley conducted an anonymous survey about the use of cognition-enhancing drugs among college males. One survey group of males included members from a fraternity, and the other survey group of males included no fraternity members. The standard error formula for the difference between sample proportions is sigma hat p 1 - hat p 2 = sqrt p 1 (1-p 1 ) n 1 + p 2 (1-p 2 ) n 2 Calculate the standard error for a survey comparing proportions of cognition enhancing drug use of fraternity members to non-fraternity members, where p1 0.32, n * 1 = 143, p * 2 = 0.25, n * 2 = 97 Round all calculations to the thousandth decimal place