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Suppose a Researcher Is Studying the Purchasing Behavior of Individuals

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Suppose a researcher is studying the purchasing behavior of individuals buying dogfood. He hypothesizes that half the dog food purchases will be the big name brand,"Lassie Fritters" and that the remaining purchases will be divided equally betweentwo local brands, "Bow Wow Chow" and "Woof Woof Wafers."
a) What are the null and alternative hypotheses that would be used to decide if therewas convincing evidence against the researcher's hypothesized distribution ofpurchases across the three brands?
b) Suppose that each individual in a random sample of 200 purchasers providesinformation about his or her choice of brand. What are the expected counts forthe three brand categories?
c) How many degrees of freedom are associated with the chi-squared goodness-of-fitstatistic?
d) Suppose a researcher is studying the purchasing behavior of individuals buying dogfood. He hypothesizes that half the dog food purchases will be the big name brand, Lassie Fritters  and that the remaining purchases will be divided equally betweentwo local brands,  Bow Wow Chow  and  Woof Woof Wafers.  a) What are the null and alternative hypotheses that would be used to decide if therewas convincing evidence against the researcher's hypothesized distribution ofpurchases across the three brands? b) Suppose that each individual in a random sample of 200 purchasers providesinformation about his or her choice of brand. What are the expected counts forthe three brand categories? c) How many degrees of freedom are associated with the chi-squared goodness-of-fitstatistic? d)

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