The umuc mini mart sells five different types of Halloween candy bags. The manager reports that the five types are equally popular. suppose that a sample of 500 purchases yields bserved counts 125, 85, 105, 90 and 95 for types 1, 2, 3, 4, and 5 respectively. use a .5 significance level to test the claim that the five types are equally popular. show all work.
a) identify the null and alternative hypothesis, show work
b) determine the test statistic, show work
c) determine the p value, show work
d) is there sufficient evidence to support the managers claim that the five types of candy bags are equally popular?