The UMUC MiniMart sells four different types of Halloween candy bags. The manager reports that the four types are equally popular. Suppose that a sample of 500 purchases yields observed counts 150, 110, 130, and 110 for types 1, 2, 3, and 4, respectively.
| Type |
1 |
2 |
3 |
4 |
| Number of Bags |
150 |
110 |
130 |
110 |
Assume we want to use a 0.10 significance level to test the claim that the four types are equally popular.
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 P-value for the test. Show all work; writing the correct P-value, without supporting work, will receive no credit.
Is there sufficient evidence to support the manager's claim that the four types are equally popular? Justify your answer.