Question

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
21	20	16	28	18

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


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

Answer 1

a) applying chi square test

	relative	observed	Expected	residual	Chi square
category	frequency	Oi	Ei=total*p	R2i=(Oi-Ei)/√Ei	R2i=(Oi-Ei)2/Ei
red	0.200	21	20.60	0.09	0.008
orange	0.200	20	20.60	-0.13	0.017
yellow	0.200	16	20.60	-1.01	1.027
green	0.200	28	20.60	1.63	2.658
purple	0.200	18	20.60	-0.57	0.328
total	1.000	103	103		4.039

test statistic =4.04

ii)

0.4 < p value <0.5