. The UMUC Daily News reported that the color distribution for plain M&Ms was: 40% brown, 20% yellow, 10% orange, 10% green, and 20% tan. Each piece of candy in a random sample of 100 plain M&Ms was classified according to color, and the results are listed below. Use a 0.05 significance level to test the claim that the published color distribution is correct. Show all work and justify your answer.

Color= Brown,Yellow, Orange, Green, Tan,

Number = 42, 21, 12, 7, 18

(a) Identify the null hypothesis and the alternative hypothesis.

(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c) Determine the P-value. Show all work; writing the correct P-value, without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the claim that the published color distribution is correct? Justify your answe