The MiniMart sells five different types of teddy bears. The manager reports that the five types are equally popular. Suppose that a sample of 100 purchases yields observed counts 25, 19, 15, 17, and 24 for types 1, 2, 3, 4, and 5, respectively.

Type

1

2

3

4

5

Number

25

19

15

17

24

Use a 0.10 significance level to test the claim that the five types are equally popular.

(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.

(c) Determine the test statistic. (Round your answer to two decimal places)

(d) Determine the p-value. (Round your answer to two decimal places)

(e) Compare p-value and significance level . What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why?

(f) Is there sufficient evidence to support the claim that the five types are equally popular? Justify your answer.