Mars Inc. claims that they produce M&Ms with the following distributions:
|? Brown ?||? 20% ?||? Red ?||? 25% ?||? Yellow ?||? 25% ?|
|? Orange ?||? 5% ?||? Green ?||? 15% ?||? Blue ?||? 10% ?|
A bag of M&Ms was randomly selected from the grocery store shelf, and the color counts were:
|? Brown ?||? 23 ?||? Red ?||? 22 ?||? Yellow ?||? 21 ?|
|? Orange ?||? 12 ?||? Green ?||? 16 ?||? Blue ?||? 13 ?|
Using the ?2goodness of fit test (? = 0.05) to determine if the proportion of M&Ms is what is claimed. Select the [test statistic, p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)].
a)[?2= 5.480, p-value = 0.948, RH0]
b)[?2= 10.960, p-value = 0.052, FRH0]
c)[?2= 10.960, p-value = 0.052, RH0]
d)[?2= 5.480, p-value = 0.948, FRH0]
e)[?2= 10.960, p-value = 0.026, RH0]
Categories Observed 1 23 1 22 1 21 1 12 1 16 1 13 Sum = 107 Expected (fo-fe)2/fe
This question was answered on: Sep 18, 2020
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