12 May The UMUC MiniMart sells five differ
The UMUC MiniMart sells five different types of coffee mugs. The manager reports that the five types are equally popular. Suppose that a sample of 500 purchases yields observed counts 120, 90, 110, 100, and 80 for types 1, 2, 3, 4, and 5, respectively. Type Number of Mugs 1 120 2 90 3 110 4 100 5 80 Assume we want to use a 0.05 significance level to test the claim that the five types are equally popular. (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 for the test. Show all work; writing the correct P-value, without supporting work, will receive no credit. (d) Is there sufficient evidence to support the manager’s claim that the four types are equally popular? Justify your answer.
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