Test whether the gender distribution for theater goers from the general college by proportion test.
The student population at the stated college consists of 55% females and 45% males.
The college theater department recently staged a production of modern music. A researcher recorded the gender of each student entering the theater and found a total of 385 females and 215 males. Is the gender distribution for theater goers significantly different from the distribution for the general college? Test at the .05 level of significance.