1)n=75; Our goal is to determine the proportion a1 of who like Red , the proportion a2 of who like Blue and the proportion a3 of those who like Orange. The observed data has the following distribution Red Blue Orange 35 15 25

(a) What is an appropriate statistical model for this experiment?

(b)use an appropriate likelihood ratio test to check the hypothesis H0 : a1 = 1/4, a2 = 1/2, a3 = 1/2.