Question 30 Mars Inc. claims that they produce M&Ms; with the following distribu

Question

Question 30 Mars Inc. claims that they produce M&Ms; with the following distributions: | Brown | 20% | Red | 25% | Yellow | 25% 1 Orange 15% | 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 21 Yellow 19 Orange 14 Green 15 Blue 13 ng the goodness of fit test (a 0.05) todetermine if the proportion of M&Ms; is what is claimed Select the [test statistic, p-value, Decision to Reject (RHo) or Failure to Reject (FRHo)l a) Ob2 = 18.457, p-value = 0.002, RHol b) Olx-9.229, p-value 0.998, FRHo c)[X2 = 18.457, p-value = 0.002, FRHo] d) OD2 = 9.229, p-value = 0.998, RHol e)[X2 = 18.457, p-value = 0.001, RHol None of the above

Explanation / Answer

applying chi square goodness of fit test:

option A is correct

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E brown 0.200 23.000 21.00 0.19 orange 0.050 14.000 5.25 14.58 red 0.250 21.000 26.25 1.05 green 0.150 15.000 15.75 0.04 yellow 0.250 19.000 26.25 2.00 blue 0.100 13.000 10.50 0.60 1 105 105 18.4571

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