The M&M candies manufacturer claims that its bags of plain M&M candies have the following distribution of colors: 20% red, 30% green, 15% yellow and 35% brown. A bag was purchased, and the number of each color was recorded in the table below. Color Red Green Yellow Brown Count l 31 15 17 l 37 l (a) Is there sufcient evidence at 5% signicance level to support the manufacturer's claim? {13) Consider the number of red colored M&M's and brown colored M&M's in a new batch. Test the claim that there is 10% less red colored M&M's than brown colored M&M's in its bags of plain M&M candies at or = 0.05, where xmd : 32,311,,\" : 100, thwn : 36,11bmwn : 100