## (Solved) The MiniMart sells five different types of teddy bears. The manager reports that the five types are equally popular.

10. The MiniMart sells five different types of teddy bears. The manager reports that the five types are equally popular. Suppose that a sample of 1000 purchases yields observed counts 230, 170, 210, 180, and 210 for types 1, 2, 3, 4, and 5, respectively. Use a 0.05 significance level to test the claim that the five types are equally popular. Show all work and justify your answer.

 Type 1 2 3 4 5 Number of Teddy Bears 230 170 210 180 210

(a) Identify the null hypothesis and the alternative hypothesis.

(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c) Determine the P-value. Show all work; writing the correct P-value, without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the managerâ€™s claim that the five types of teddy bears are equally popular? Justify your answer.

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