The UMUC 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.