The student population at the state college consists of 55% females and 45% males.
a. The college theater department recently staged a production of a modern musical. a researcher recorded the gender of each student enetering 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.
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.
The solution provides step by step method for the calculation of test statistic for the chi square test of goodness of fit. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.