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Chi-Square Distributions and Goodness of Fit

One-Way Tables (Testing Goodness of Fit)

Answers


  1. If all four colors were equally likely to be put in the bag, then the expected frequency for a given color would be 1/4\mathrm{th} of the lollipops. So, the expected frequency would be (1 / 4)(40)=10. (Of course, this is the theoretical expected frequency, not what we actually expect the bag to look like).

  2. Take the sum of each \text { (expected - observed) }^{2} / \text { expected }=(10-8)^{2} / 10+(10-5)^{2} / 10+(10-12)^{2} / 10+(10-15)^{2} / 10=5.8