MARS claims that Skittles candies should be comprised of 30% purple, 10% orange, and 20% of each of the red, yellow, and green. Business students count a large bag of Skittles and find 279 purple, 212 orange, 265 red, 303 yellow, and 271 green candies.

a. Set up the competing hypotheses to test if at least one proportion is different than the value claimed by MARS.

b. Calculate the value of the test statistic and determine the degrees of freedom.

c. Compute the p-value. Does the evidence suggest that at least one proportion is different from the claimed value at the 5% significance level?