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The Daily News reported that the color distribution for plain M&

The Daily News reported that the color distribution for plain M&M’s
was: 40% brown, 20% yellow, 20% orange, 10% green, and 10% tan. Each piece of candy in a random sample of 100 plain M&M’s 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.
Color——-Brown—–Yellow—–Orange—–Green—–Tan
Number—-42———–18———15————7———–18
(a) What is the appropriate hypothesis test (z-test for sample proportion, t-test for sample mean, chisquare goodness of fit test, F-test for ANOVA) Why?
(b) Identify the null hypothesis and the alternative hypothesis
(c) How do you determine the test statistic?
(d) How do you determine the P-value?
(e) Compare p-value and significance level α. What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why?
(f) Is there sufficient evidence to support the claim that the published color distribution is correct? Why?

 
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