The actual distribution of car colors for 2006 model car buyers is shown below. Based on the sample of 200 car buyers for 2012 model vehicles, use the multinomial chi-square GOF test at α = .05 to test whether car buyers' color preferences have changed.

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2012 Sample Frequencies 52 24 32 Car Color 2006 Percent Silvergray Blue White Tan/beige Black Green Red Other 12 16 15 5 13 12 100 200 Total