Are there a greater proportion of blue MMs in a milk chocola

Are there a greater proportion of blue M&Ms in a milk chocolate bag than in a peanut bag?Is the color distribtion match the M&M Mars stated distribution of colors being Brown 13%,yellow 14%, Red 13%, Blue 24%, Orange 20% and Green 16%.If i wanted to test for normality on the inquires above, , how would I go about doing this?

Solution

Set up null and alternate hypotheses as

H0: All colours are equally preferred

Ha:Atleast two colours are equally likely

Two tailed chi square test

Prepare contingency table

df = 5

p value = 0.3102

As p > 0.05 accept null hypothesis

There is no statistical evidence to prove that  a greater proportion of blue M&Ms is in a milk chocolate bag than in a peanut bag

colours Brown yellow Red Blue Orange Green Total
Percent 13 14 13 24 20 16 100
Expected 16.67 16.67 16.67 16.67 16.67 16.67 100.02
Chi square 0.807972 0.427648 0.807972 3.223089 0.665201 0.026929 5.958812
Are there a greater proportion of blue M&Ms in a milk chocolate bag than in a peanut bag?Is the color distribtion match the M&M Mars stated distribution

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