Identify the null hypothesis and the alternative hypothesis
Identify the null hypothesis and the alternative hypothesis using data provided
Subject: Mathematics   / Statistics
Question
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 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
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(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 manager’s claim that the five types of teddy bears are equally popular? Justify your answer.