The shares of the U. S. automobile market held in 1990 by General Motors, Japanese manufacturers, Ford, Chrysler, and other manufacturers were, respectively, 34%, 32%, 19%, 9%, and 6%. Suppose that a new survey of 1,000 new-car buyers shows the following purchase frequencies: GM Japanese Ford Chrysler Other 397 259 231 80 33

(a) Show that it is appropriate to carry out a chi-square test using these data.