Reference no: EM132056825

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.

Red: 9

Orange: 27

Yellow: 11

Green: 14

Blue: 22

Brown: 17

1. Identify the appropriate hypothesis test and explain the reasons why it is appropriate for analyzing this data.
2. Determine the test statistic. (Round your answer to two decimal places)
3. Compare p-value and significance level α. What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why?