The UMUC Daily News reported that the color distribution for plain M&Ms was: 40% brown, 20% yellow, 20% orange, 10% green, and 10% tanEach piece of candy in a random sample of 100 plain M&Ms was classified according to colorand the results are listed below. Use a 0.05 significance level to test the claim that the published color distribution is correct.(a) Identify the null hypothesis and the alternative hypothesis.(b) Determine the test statistic.(c) Determine the p-value.(d) Is there sufficient evidence to support the claim that the published color distribution is correct? Justify your answer.