Testing Goodness-of-Fit with a Binomial Distribution An observed frequency distribution is as follows:

a. Assuming a binomial distribution with n 5 3 and p 5 1 3, use the binomial probability formula to find the probability corresponding to each category of the table.

b. Using the probabilities found in part (a), find the expected frequency for each category.

c. Use a 0.05 significance level to test the claim that the observed frequencies fit a binomial distribution for which n 5 3 and p 5 1 3.