A relish-making company wants to test whether people believe that “relish is relish” when purchasing this condiment, i.e., people have no preference for particular brands. The company randomly samples 180 people and presents each person with a taste of 3 different brands of relish. Each person is asked which brand they would most likely purchase in the future; the number of people choosing each brand is below. Brand A: 85 Brand B: 50 Brand C: 45 Use a one-way chi-square test to render a decision about the null hypothesis (α = 0.01). (a) Express the null hypothesis in words. [1 point] (b) What is the expected frequency for each brand? [1 point] (c) How many degrees of freedom are there? [1 point] (d) What is the computed chi-square value? [2 points] (e) What is the critical chi-square value? [1 point] (f) What do you conclude about the null hypothesis? Explain. [2 points]
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