4.33 A quality control engineer has taken 50 samples, each of size 13, from a production process. The numbers of defectives are recorded below.

Number of Defects Sample Frequency 0 9 1 26 2 9 3 4 4 1 5 1 6 or more 0

(a) Test the null hypothesis that the number of defectives follows a Poisson distribution.

(b) Test the null hypothesis that the number of defectives follows a binomial distribution.

(c) Comment on your answers in

(a) and (b).