Test whether the gender distribution for basketball fans is significant different from general college by proportion test.
The student population at the stated college consists of 55% females and 45% males.
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.