Problem 1: The student population at the state college consists of 60% females and 40% males. The college theater department recently staged a production of a modern musical. A researcher recorded the gender of each student entering the theater and found a total of 37 females and 18 males.

(15 points) a. Is the gender distribution for theater goers significantly different from the distribution for the general college? Use a = .05. [Note. Provide evidence to support your decision.]

(5 points) b. Write a sentence showing how the outcome of the hypothesis test would appear in a research report.