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The proportions of yearly sales across a province in Canada for four popular hiking shoe brands (Merrell, Keen, The North Face, and Saucony, in terms

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The proportions of yearly sales across a province in Canada for four popular hiking shoe brands (Merrell, Keen, The North Face, and Saucony, in terms of pairs of shoes sold per year) were found to be 50 percent, 30 percent, 11 percent, and 9 percent, respectively. Suppose that a new survey of 1,000 shoppers in a city in that province was conducted and the following purchase frequencies were found: Merrell: 510 Keen: 300 The North Face: 120 Saucony: 70 ********** Suppose you are interested in testing the null hypothesis that the population proportion of consumers who prefer each brand province-wide match the population proportion of customers who prefer each brand within the city. Which type of test is most appropriate? A i ' l A chi-square test of homogeneity \" * " An ANOVA Ftest A i ' l A t-test for the population slope /\\ i ' l A chi-square test (multinomial probabilities)

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