A Large Carpet Store Wishes to Determine If the Brand

question 75

Essay

A large carpet store wishes to determine if the brand of carpet purchased is related to the purchaser's family income. As a sampling frame, they mailed a survey to people who have a store credit card. Five hundred customers returned the survey and the results follow: $$\begin{array} { | l | c c c | } \hline & { \text { Brand of Carpet } } \\\hline \text { Family Income } & \text { Brand } \mathrm { A } & \text { Brand B } & \text { Brand C } \\\hline \text { High income } & 65 & 32 & 32 \\\hline \text { Middle income } & 80 & 68 & 104 \\\hline \text { Low income } & 25 & 35 & 59 \\\hline\end{array}$$ At the 5% level of significance, can you conclude that the brand of carpet purchased is related to the purchaser's family income?

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Definitions:

Carbon Chain

A series of carbon atoms linked together, which can be straight, branched, or arranged in rings, forming the backbone of organic molecules.

Triglycerides

A type of fat (lipid) found in your blood, used by the body for energy but high levels can increase the risk of heart disease.

Glycerol

A simple polyol compound that serves as a building block for lipids and can be converted into glucose by the liver.

Fatty Acids

Long chains of hydrocarbon molecules that are components of fats and oils, important in diet and metabolism.