Define X as the number of under filled bottles from

Define X as the number of under filled bottles from a filling operation in a carton of 24 bottles. Sixty cartons are inspected and the following observations on X are recorded: Values 0 1 2 3
Frequency 39 23 12 1
(a) Based on these 75 observations, is a binomial distribution an appropriate model? Perform a goodness-of-fit procedure with a = 0.05.
(b) Calculate the P-value for this test.