Skittles Original Fruit bite-size candies are multicolored candies in a bag, and you can "Taste the Rainbow

Skittles Original Fruit bite-size candies are multicolored candies in a bag, and you can “Taste the Rainbow” with their five colors and flavors: green, lime; purple, grape; yellow, lemon; orange, orange; and red, strawberry. Unlike some of the other multicolored candies available, Skittles claims that their five colors are equally likely. In an attempt to reject this claim, a 4-oz bag of Skittles was purchased and the colors counted. Does this sample contradict Skittle’s claim at the .05 level? Red Orange Yellow Green Purple 27 16 20 20 17

(a) Find the test statistic. (Give your answer correct to two decimal places.)

(ii) Find the p-value. (Give your answer bounds exactly.)

< p <

(b) State the appropriate conclusion. Reject the null hypothesis, there is significant evidence to contradict Skittle’s claim. Fail to reject the null hypothesis, there is not significant evidence to contradict Skittle’s claim. Reject the null hypothesis, there is not significant evidence to contradict Skittle’s claim. Fail to reject the null hypothesis, there is significant evidence to contradict Skittle’s claim.

Skittles Original Fruit bite-size candies are multicolored candies in a bag, and you can "Taste the Rainbow