1. The manufacturer of M&Ms candy claims that they include 30% brown, 20% yellow, 20% red, 10% green , 10% orange and 10% blue M&Ms in their packages. I bought ten packages of M&Ms, opened them, poured them all into a large bowl and counted the number of M&Ms of each color. Out of a total of 505 M&Ms counted, I came up with the following numbers: 172, 83, 95, 36, 66, 53 for brown, yellow, red, green, orange and blue, respectively. Test the hypothesis that the manufacturer is telling the truth about their color distributions at the .05 significance level.