The UMUC Daily News reported that the color distribution for plain Mamp;M’s was: 35% brown, 30% yellow, 15% orange, 10% green, and 10% tan .

(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 distributi on is correct? Justify your answer.