Math Solutions

[See Solution] The student population at the state college consists of 55% females and 45% males. The college theater dept. recently stated a production

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

  1. The college theater dept. recently stated a production of a modern musical. 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 the theater goers significantly different from the distribution for the general college? Test at 0.05 level of significance.
  2. The same researcher also recorded the gender of each student watching a men’s b-ball game in the college gym and found a total of 83 females and 97 males. Is the gender distribution for b-ball fans significantly different from the general college? Test at 0.05.

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