Test to determine whether the current market shares differ


The shares of the U.S. automobile market held in 1990 by General Motors, Japanese manufacturers, Ford, Chrysler, and other manufacturers were, respectively, 37%, 27%, 22%, 8%, and 6%. Suppose that a new survey of 1,000 new-car buyers shows the following purchase frequencies: GM Japanese Ford Chrysler Other 389 205 282 97 27 (a) Show that it is appropriate to carry out a chi-square test using these data. Each expected value is ≥ (b) Test to determine whether the current market shares differ from those of 1990. Use α = .05. (Round your answer to 3 decimal places.)

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