18. The UMUC MinilVlart sells ve different types of teddy bears. The manager reports that the ve types are equally popular. Suppose that a sample of 500 purchases yields observed counts of 105, 85, 105, 95, and 110 for types 1,2, 3, 4, and 5, respectively. Type 1 2 3 4 5 Number 105 85 105 95 110 Assume we want to use a 0.05 signicance level to test the claim that the four 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 Pvalue. Show all work; writing the correct P value, without supporting work, will receive no credit. ((1) Is there sufcient evidence to support the manager's claim that the ve types are equally popular? Justify your