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

Question

Mars Inc. claims that they produce M&Ms; with the following distributions: Brown 30% Red 20% | Yellow 209.0 Orange10% | Green 10% Blue 10% - - A bag of M&Ms; was randomly selected from the grocery store shelf, and the color counts were: Brown 21 Red 21 Yellow 19 Orange 12 Green 17 Blue 13 Using the X goodness of fit test ( (FRHo)] 0.10) to determine if the proportion of M&Ms; is what is claimed. Select the p-value, Decison to Reject RHo) or Failure to Reject a) Ip-value 0.876, RHol b)[p-value= 0.124, RHI c) O [p-value = 0.124, FRHI d) O [p-value = 0.062, RH01 [p-value 0.876, FRHo] None of the above Review Late

Explanation / Answer

for abvoe test statistic 8.6505 and (categories-1=6-1=5) degree of freedom p vlaue =0.124

as p value is higher then 0.1 level

option C is corect

observed Expected Chi square color Probability O E=total*p =(O-E)^2/E brown 0.300 21.000 30.90 3.17 red 0.200 21.000 20.60 0.01 yellow 0.200 19.000 20.60 0.12 orange 0.100 12.000 10.30 0.28 green 0.100 17.000 10.30 4.36 blue 0.100 13.000 10.30 0.71 1 103 103 8.6505

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