Skittles Statistics teacher Jason Molesky contacted Mars, Inc., to ask about the color

QUESTION:

Skittles Statistics teacher Jason Molesky contacted Mars, Inc., to ask about the color distribution for Skittles candies. Here is an excerpt from the response he received: The original flavor blend for the SKITTLES BITE SIZE CANDIES is lemon, lime, orange, strawberry and grape. They were chosen as a result of consumer preference tests we conducted. The flavor blend is 20 percent of each flavor. (a) State appropriate hypotheses for a significance test of the companys claim. (b) Find the expected counts for a bag of Skittles with 60 candies. (c) How large a c2 statistic would you need to have significant evidence against the companys claim at the a = 0.05 level? At the a = 0.01 level? (d) Create a set of observed counts for a bag with 60 candies that gives a P-value between 0.01 and 0.05. Show the calculation of your chi-square statistic.