Suppose That We Are Studying the Purchasing Behavior of Individuals

question 16

Essay

Suppose that we are studying the purchasing behavior of individuals buying breakfast oatmeal. We hypothesize that half the cereal purchases will be the big name brand, "Seabiscuit Oats" and that the remaining purchases will be divided equally between two local brands, "Secretariat Oats" and "Whirlaway Oats."
a)Define appropriate statistical variables, and use them to state the null and alternative hypothesis that would be used to decide if there was convincing evidence against the hypothesized distribution of purchases across the three brands.
b)Suppose that each individual in a random sample of 200 purchasers provides information about his or her choice of brand. For each category, what are the expected values?
c)How many degrees of freedom are associated with the chi-squared goodness-of-fit statistic?
d)Suppose that X² = 6.10. What can be said about the P-value for this hypothesis test?

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Definitions:

Phenylalanine

An essential amino acid required for growth and protein synthesis, obtained through diet.

Phenylketonuria

A genetic disorder characterized by the body's inability to break down the amino acid phenylalanine, leading to its accumulation.

Metabolism

The sum of the chemical reactions that occur in a cell.

Autosomal Dominant

A pattern of inheritance where a trait can be expressed in an individual who has one copy of a gene associated with a trait.