Case Example: Ratio of Males to Females

Suppose that a survey claimed that more than 60 percent of the graduate student population of the UC system was male. Believing the female population to be larger than they suggest, you conduct a sample survey and found that your sample population of 320 grads consisted of 181 males, a proportion of 56.6%.  Are your findings significant enough to suggest a population ratio less than or equal to 60%?  Here's the information needed to conduct a hypothesis test.

= .566

p = .6

q = .4

n = 320