The 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 |
10 |
12 |
Assume we want to use a 0.10 significance level to test the claim that the published color distribution is correct.
Identify the null hypothesis and the alternative hypothesis.
Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit
Determine the critical value. Show all work; writing the correct critical value, without supporting work, will receive no credit
Is there sufficient evidence to support the claim that the published color distribution is correct? Justify your answer.