Answers to 8.1 goodness of fit test

  1. Are there equal numbers of athletes and non-athletes? (Athlete variable)

    • Do you meet the assumptions? (answer = yes)

    • Are the observed frequencies similar to the expected frequencies? (answer = no)

    • What is your chi-square value, rounded to two decimal places? (answer = 10.32)

  2. I happen to know the school this data comes from has 40% athletes and 60% non-athletes. Does our data match the school population?

    • Change your Expected Proportions ratio to .6 for non-athletes and .4 for athletes.

    • Are the observed frequencies similar to the expected frequencies? (answer = yes)

    • What is your chi-square value, rounded to two decimal places? (answer = .96)

  3. Are there equal numbers of freshmen, sophomores, juniors, and seniors? (Rank variable)

    • Do you meet the assumptions? (answer = yes)

    • Are the observed frequencies similar to the expected frequencies? (answer = no)

    • What is your chi-square value, rounded to two decimal places? (answer = 33.94)