Mars Inc. claims that they produce M&Ms with the following distributions: A bag

Question

Mars Inc. claims that they produce M&Ms with the following distributions:

A bag of M&Ms was randomly selected from the grocery store shelf, and the color counts were:

Using the ?2 goodness of fit test (? = 0.10) to determine if the proportion of M&Ms is what is claimed. Select the [p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)].

a) [p-value = 0.876, RH0]

b) [p-value = 0.124, RH0]

c) [p-value = 0.124, FRH0]

d) [p-value = 0.062, RH0]

e) [p-value = 0.876, FRH0]

f) None of the above

Brown 30% Red 20% Yellow 20% Orange 10% Green 10% Blue 10%

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Oi
Expected: Ei

Hence,

p-value = 0.124, FRH0

Option C is correct.

N DF Chi-Square P-value 103 5 8.6504854 0.1238

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