A foursome of golfers plays together routinely. One of the golfers happens to be a statistician who enjoys keeping track of the number of fairways the players hit while teeing off. The following table shows these data for the last 250 holes the golfers have played together:

Using α = 0.05, perform a chi-square test to determine if the number of fairways hit per hole follows a binomial probability distribution.

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Number of Fairways Hit Per Hole 0 Frequency 32 86 38 4 Total 250