A Large Carpet Store Wishes to Determine If the Brand

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?