Q.4 (a) A market researcher believes that in a certain population the proportion of persons

preferring brands A, B, C and D of tooth paste are 0.30, 0.60, 0.08 and 0.02

respectively. A simple random sample of 600 persons drawn from the population

shows the following preferences.

Brand

A

B

C

D

Number of person

192

342

44

22

Do these data provide sufficient evidence to reject the research's belief at = 0.01