Are all colors equally likely for Milk Chocolate M&M's? Datacollected from a bag of Milk Chocolate M&M's are provided.
Blue Brown Green Orange Red Yellow
110 47 52 103 58 50
a. State the null and alternative hypotheses for testing if thecolors are not all equally likely for Milk Chocolate M&M's.
b. If all colors are equally likely, how many candies of eachcolor (in a bag of 420 candies) would we expect to see?
c. Is a chi-square test appropriate in this situation? Explainbriefly.
d. How many degrees of freedom are there?
A) 2 B) 3 C) 4 D) 5
e. Calculate the chi-square test statistic. Report your answerwith three decimal places.
f. Report the p-value for your test. What conclusion can be madeabout the color distribution for Milk Chocolate M&M's? Use a 5%significance level.
g. Which color contributes the most to the chi-square teststatistic? For this color, is the observed count smaller or largerthan the expected count?
