At the time of data collection, M\&Ms plain chocolate candies came in six different colors: brown, yellow, red, orange, green, and tan. According to the manufacturer (Mars Inc.), the color ratio in each large batch was 30% brown, 20% yellow, 20% red, 10% orange, 10% green, and 10% tan. To test this claim, a professor at Carleton College (Minnesota) had students count the colors of M\&Ms found in "fun-size" bags of the candy. The results for 370M&Ms are provided in the table below. They are also available in the file M\&M. DAT. (a) Carry out an appropriate test of hypothesis to determine whether the true percentages of colors produced differ from the manufacturer's stated percentages. Use the null distribution of the test statistic (as discussed in the class) to report the p-value. (b) Repeat (a) but this time compute p-value using a Monte Carlo approach. How does this p-value compare with the one obtained in (a)? (c) State conclusion at 5% level of significance.