4. Define X as the number of under-filled bottles from a filling operation in a carton of 24 bottles. Of 75 cartons inspected, the following observations on Xwere recorded: Values 1 3 23 1 Frequency...

Extracted text: 4. Define X as the number of under-filled bottles from a filling operation in a carton of 24 bottles. Of 75 cartons inspected, the following observations on Xwere recorded: Values 1 3 23 1 Frequency 39 12 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. (The R command chisq.test can get a specific value.)