Reference no: EM132091141

The color distribution of plain M&M's varies by the factory in which they were made. The Hackettstown, New Jersey plant uses the following color distribution for plain M&M's: 12.5% red, 25% orange, 12.5% yellow, 12.5% green, 25% blue, and 12.5% brown. Each piece of candy in a random sample of 100 plain M&M's from the Hackettstown factory was classified according to color, and the results are listed below. Use a 0.05 significance level to test the claim that the Hackettstown factory color distribution is correct. Describe method used for calculating answer.

Color and number

Red 11

Orange 28

Yellow 20

Green 9

Blue 20

Brown 12

(a) Identify the appropriate hypothesis test and explain the reasons why it is appropriate for analyzing this data.

(b) Identify the null hypothesis and the alternative hypothesis.