The Chi-Square Goodness-of-Fit Test
One of the many uses of the chi-square distribution is to perform a goodness-of-fit test, which uses a sample to test whether a frequency distribution fits the predicted distribution. As an example, let’s say that a new movie in the making has an expected distribution of ratings summarized in the following table.
Expected Movie-Rating Distribution
After its debut, a sample of 400 moviegoers were asked to rate the movie, with the results shown in the following table.
Observed Movie-Rating Distribution
Can we conclude that the expected movie ratings are true based on the observed ratings of 400 people? ...