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[answered] Mars Inc. claims that they produce M&Ms with the fo


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 ? ? 21 ? ? Red ? ? 22 ? ? Yellow ? ? 22 ?
? Orange ? ? 12 ? ? Green ? ? 17 ? ? Blue ? ? 14 ?


Using the ?2 goodness 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 = 10.923, p-value = 0.053, RH0]


b) [?2 = 5.461, p-value = 0.947, RH0]


c) [?2 = 10.923, p-value = 0.053, FRH0]


d) [?2 = 10.923, p-value = 0.026, RH0]


e) [?2 = 5.461, p-value = 0.947, FRH0]


f) None of the above


Answer: The following table is obtained:

 

Categories Observed Expected 1 21 108*0.2=21.6 1 22 108*0.25=27 1 22 108*0.25=27 1 12 108*0.05=5.4 1 17 108*0.15=16.2 1 14 108*0.1=10.8 (fo-fe)2/fe...

 


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