In 2005 MM Mars claimed there should be 13 brown 14 yellow 1

In 2005, M&M Mars claimed there should be 13% brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green in a bag of milk chocolate M&Ms.    You want to perform a test that will determine if there is sufficient evidence that the overall color distribution of M&Ms is different from the company\'s claim.

Choose the appropriate statistical inference procedure for this scenario

Solution

SEt up null and alternate hypotheses as:

H0: Chocolates are in the proportion given

Ha: Atleast two are not in the given proportion

Two tailed test

For deciding we have to do a chi square test with observed values and find chi square value for each colour then total.

Degree of freedom = No of colours -1 = 5

For the test statistic find p value and if p > alpha say 5% then accept the claim of M & M Mars.