A Goodness-of-Fit Test with the Binomial Distribution
In past chapters, we have occasionally made assumptions that a population follows a specific distribution such as the normal or binomial. In this section, we can demonstrate how to verify this claim.
As an example, suppose that a certain major league baseball player claims the probability that he will get a hit at any given time is 30 percent. The following table is a frequency distribution of the number of hits per game over the last 100 games. Assume he has come to bat four times in each of the games.
Data for the Baseball Player
In other words, in 26 games he had 0 hits, in 34 ...