申論題

4. (15%) Four hundred members of a test panel were shown a preview of a film of a new musical to be released shortly. Each panel member was asked to indicate whether the amount of dancing in the film is too much, about right, or too little. The results, cross-classified by opinion and gender of viewer, were as follows:
Assume that the 400 panel members constitute a random sample of the target audience for the film.

(a) (10%) Test whether opinion and gender of viewer are independent, control the α risk at 0.10. State the alternatives, the decision rule, the value of the test statistic, and the conclusion.