The shares of the U. S. automobile market held in 1990 by General Motors, Japanese manufacturers, Ford, Chrysler, and other manufacturers were, respectively, 36%, 26%, 21%, 9%, and 8%. Suppose that a new survey of 1,000 new-car buyers shows the following purchase frequencies:
a. Show that it is appropriate to carry out a chi-square test using these data.
b. Test to determine whether the current market shares differ from those of 1990. Use α = .05.