The UMUC Daily News reported that the color distribution for plain M&M's was: 35% brown, 20% yellow, 20% orange, 15% green, and 10% tan. Each piece of candy in a random sample of 100 plain M&M's was classified according to color, and the results are listed below.
|
Color
|
Brown
|
Yellow
|
Orange
|
Green
|
Tan
|
|
Number
|
42
|
21
|
15
|
9
|
13
|
Assume we want to use a .10 significance level to test the claim that the published color distribution is correct.
- Identify the null and alternative hypothesis
- Determine the test statistic.
- Determine the critical value.
- Is there sufficient evidence to support the claim that the published color distribution is correct? Justify answer.