One hundred children were asked whether they preferred crisps, fruit or chocolate. Of the boys, 12 stated a preference for crisps, 11 for fruit, and 17 for chocolate. Of the girls, 13 stated a preference for crisps, 14 for fruit, and 33 for chocolate. Answer each of the following questions by carrying out an appropriate statistical test.

(a) Are the data consistent with the hypothesis that girls find all three types of snack equally attractive?

(b) Are the data consistent with the hypothesis that boys and girls show the same distribution of preferences?