QUESTION 2

A wine manufacturer has 5 new varieties of wine (A,B,C,D,E) which are presented to visitors for tasting at the vineyards. Each visitor is asked to state his or her wine preference. The manager claims that 40% of visitors will choose wine D, with the other wines being equally popular among the visitors. To test if there is evidence that the manager's claim is not true, 80 visitors were chosen at random and their actual preferences (observed frequency) were recorded as follows:

(a)Construct the contingency table

(b) Do you think the manager's claim is not true? Test it at 0.05 significant level. Show your steps clearly on how you made the conclusion.

Category A B C D Number of visitor E Total actual preference 10 19 15 27 9 80