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

Skittles Statistics teacher Jason Molasky contacted Mars, Inc., to ask about the color distribution for Skittles candies. Here is an excerpt from the response he received: “The original flavour 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 flavour blend is 20 percent of each flavour.” (a) State appropriate hypotheses for a significance test of the company’s 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 sig-nificant evidence against the company’s claim at the a = 0.05 level? At the a = 0.01 level?

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(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.

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