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.

(b). (10 points) The researcher wants to see if there is a difference in the color distributions for compact/sports cars versus full/intermediate cars. Another random sample of 250 full/intermediate cars was taken and the color of the vehicles was recorded. The table below shows the results for both compact/sports and full/intermediate cars. Do the data indicate that there is a difference in the color distributions depending on the type of vehicle? Use α=0.05.