Nationally 60% of trainee accountants taking a particular professional accountancy examination pass the examination.

(b) The number of trainees who passed at each of a random sample of 80 training centres, each of which entered 10 trainees for the exam is given below. No. of passes 0 1 2 3 4 5 6 7 8 9 10 No. of Centres 1 3 5 7 9 12 17 12 7 3 4 Use a goodness of fit test to show that these data are unlikely to have come from a Binomial (n=10, p=0.6) distribution