Let X denote the number of flaws observed on a large coil of galvanized steel. Seventy-five coils are in spected and the following data were observed for the values of X:
Values 1 2 3 4 5 6 7 8 Observed Frequency 1 11 8 13 11 12 10 9

(a) Does the assumption of the Poisson distribution seem appropriate as a probability model for these data? Use 0.01.

(b) Calculate the P-value for this test.