The UMUC Daily News reported that the color distribution for plain M&M’s was: 40

Question

The UMUC 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. Show all work and justify your answer.

(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.

Explanation / Answer

a)

Ho : There is no significant diffrence between expected and observer observations

H1: There is significant diffrence between expected and observer observations of atleast one pair

b)

Chi square = 3.86

c)

df = 4, chi square = 3.86

p value = 0.43

d)

as p>0.05 we fail to reject the null hypothesis.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.