Suppose a consumer affairs representative for Mars Incorporated claims that M&M's plain chocolate candies are mixed such that each large production batch has "precisely" the following ratios of colored candies: 25% brown, 20% yellow, 20% red. 10% orange, 15% green, and 10% blue. To test his claim, a professor distributed small sample bags of M&M's to students and had them count the number of candies of each color. The counts of the students were then pooled with the following results. Does the evidence support the representative claim at the 0.01 level of significance? Perform a chi-square goodness-of-fit hypothesis test. Show the calculation of the expected values and the test statistic. Use the Rejection Region Method.

Candy Colors
	Brown	Yellow	Red	Orange	Green	Blue
Number of Candies	85	78	75	47	36	49