daily news reported that the color distribution for plain m&ms was 40%brown, 20%
ID: 3130999 • Letter: D
Question
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 randomsample of 100 plain m&ms was classified according to color brown 42 yellow 21 orange 12 green 7 and tan 18. a)identify the null hypothesis show all work b) determine the test statistics show all work c) determine the p-value show all work d) is ther e sufficient evidence to support the claim that the claim that the published color distribution is correct justify your answer
Explanation / Answer
a)
null hypothesis Ho: color distribution by news report and random sampler are same
alternative hypothesis H1: color distribution by news report and random sampler are not same
b)
test statisic =chi-square and calculated in the following table
chi-square=10.65 with df=4
answer of c) p-value=chidist(10.65,4)=.0307 (using MS-excel)
answer of d) at alpha=0.05 we reject null hypothesis as the p-value is less than alpha
so there is not sufficient evidence to support the claim that the claim that the published color distribution
color % observed (O) estimated(E) (O-E) (O-E)2 (O-E)2/E brown 40 42 40 2 4 0.1 yellow 20 21 20 1 1 0.05 orange 20 12 20 -8 64 3.2 green 10 7 10 -3 9 0.9 tan 10 18 10 8 64 6.4 sum 100 100 100 0 142 10.65Related Questions
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