Each model year seems to introduce new colors 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/gray continue to make the top five or six colors across all of these categories of vehicles. The top six colors and their percentage of the market share for compact/sports cars are shown in the following table.18

To verify the figures, a random sample consisting of 250 compact/sports cars was taken and the color of the vehicles recorded. The sample provided the following counts for the categories given above: 52, 43, 48, 41, 32, 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 percentages of the colors for compact/sports cars differ from those given? Find the approximate p-value for the test.

ColoSilvr Black Gray Blue Red White Percent 19 17 17 15 12 12