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STAT200 FINAL EXAM A Daily News reported that the color distribution for plain M&Ms was: 40% brown, 20% yellow, 20% orange, 10% green, and 10%

STAT200 FINAL EXAM A

Daily News reported that the color distribution for plain M&Ms was: 40% brown, 20% yellow, 20% orange, 10% green, and 10% 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.

STAT200 FINAL EXAM A

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 answer.

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