14.53 Vehicle Colours Each model year seems to introduce new colours and different hues for a wide...

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14.53 Vehicle Colours Each model year seems to introduce new colours and different hues for a wide array of vehicles, from luxury cars to full-size or intermediate models, to compacts and sports cars, to light trucks. However, white and silver/grey continue to make the top five or six colours across all of these categories of vehicles. The top six colours and their percentage of the market share for compact/sports cars are shown in the following table.

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To verify the figures, a random sample consisting of 250 compact/sports cars was taken and the colour of the vehicles recorded. The sample provided the fol- lowing counts for the categories given above: 52, 43, 48, 41, 32, and 19, respectively.

a. Is any category missing in the classification? How many vehicles belong to that category?

b. Is there sufficient evidence to indicate that our per- centages of the colours for compact/sports cars dif- fer from those given? Find the approximate p-value for the test.

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