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
30	17	15	28	28

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


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

A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four varieties with probabilities of 0.11, 0.26, 0.14, and 0.49, respectively, from the least to most expensive variety. A sample of 508 purchases resulted in sales of 49, 144, 87, and 228 of the respective qualities. Does this sample contradict the expected proportions? Use α = 0.05.

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


(ii) Find the p-value. (Round your answer to four decimal places.)

Answer 1

The statistical software output for this problem is :

1)

Chi-Square goodness-of-fit results:
Observed: O
Expected: All cells in equal proportion

N	DF	Chi-Square	P-value
118	4	8.3559322	0.0794

Observed	Expected
30	23.6
17	23.6
15	23.6
28	23.6
28	23.6

Test statistics = 8.35

0.05 < P-value < 0.10

2)

Test statistics = 7.23

P-value = 0.0650