BNAD 276 Lecture 3: Chapter 12 - Chi-Square Tests

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The retail analyst for a marketing firm wants to know if different customer groups prefer on brand over another. In particular, she feels that the brand under armour might appeal more to younger customers. P1+p2+ pk= 1: on each, there are (cid:862)k(cid:863) possible outcomes, the probability pi of falling into category i is the same on each trial, the k probabilities sum to 1: This test determines whether two or more population proportions equal each other or any predetermined set of values. A multinomial experiment consists of a series of (cid:862)n(cid:863) independent trials such that: The hypothesis: the population proportions are equal to one another or they are each equal to a specific value. Last year the management at a restaurant surveyed its patron to rate the quality of its food. Ha: not all population proportions are equal to 0. 25. Ha: at least one pi differs from its hypothesized value.

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