Question: The student population at the state college consists of 55 % females and 45 % males.

a. The college theatre department recently staged a production of a modern musical. A researcher recorded the gender of each student entering the theatre and found a total of 385 females and 215 males. Is the gender distribution for theatre goers significantly different from the distribution for the general college ? Test at the .05 level of significance.

b. The same researcher also recorded the gender of each student watching a men’s basketball game in the college gym and found a total of 83 females and 97 males. Is the gender distribution for basketball fans significantly different from the distribution for the general college ? Test at the .05 level of significance.