Question

According to the National Center for Education Statistics, 37 % of STEM graduates are women. You take a

sample of 40 random STEM majors at your college and find that 20 of them are women. You want to do a
hypothesis test to determine whether your college differs from the national rate. Calculate the test
statistic that you would get, to at least four places.

Answer 1

p = 20/40 = 0.5

P = 0.37

n = 40

z = (0.5 - 0.37) / sqrt(0.37 * 0.63 / 40)

z = 1.64 (rounded to two decimal places)