申論題

4. (20 points in total) The top six colors and their percentages of the market share for compact/sports cars are shown in the following table.
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). (10 points) 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 (HINT: Remember to include a column called "Other" for cars that do not fall into one of the six categories shown in the table).