Mars Inc. claims that they produce M&Ms with the following
A bag of M&Ms was randomly selected from the grocery store shelf, and the color counts were:
Using the χ2 goodness of fit test to determine if the proportion of M&Ms is what is claimed, what is the test statistic?
a) χ2 = 10.409
b) χ2 = 1.960
c) χ2 = 9.109
d) χ2 = 7.209
e) χ2 = 18.218
f) None of the above
Here we have to test the hypothesis that,
H0 : All the population proportions are equal.
H1 : Atlease one population proportion differ.
Assume alpahaa = 0.05
The test statistic follows X2 distribution with k-1 degrees of freedoms.
where k = no. of groups= 6
The test statistic is,
where O is observed frequency
E is expected frequency.
We have given proportions and O.
Now we can find E by using formula,
E = N*p
where N = 113
Test statistic = 9.109
Option c) is correct.
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