A Large Carpet Store Wishes to Determine If the BrandAt the 5% Level of Significance, Can You Conclude That

The Answer is H 0 : H _ { 0 } : H 0 : The two variables (family income and brand of carpet) are independent. H A : The two variables are dependent. Rejection region: \chi _ { 0.05,4 } ^ { 2 } ="> χ 2 > χ 0.05 , 4 2 = \chi ^ { 2 } > \chi _ { 0.05,4 } ^ { 2 } = χ 2 > χ 0.05 , 4 2 = 9.488. Test statistic: x 2 = x ^ { 2 } = x 2 = 27.372. p-value = 0.0. Conclusion: Reject the null hypothesis. Yes.

A Large Carpet Store Wishes to Determine If the BrandAt the 5% Level of Significance, Can You Conclude That

The Answer is H 0 : H _ { 0 } : H 0 : The two variables (family income and brand of carpet) are independent. H A : The two variables are dependent. Rejection region: \chi _ { 0.05,4 } ^ { 2 } ="> χ 2 > χ 0.05 , 4 2 = \chi ^ { 2 } > \chi _ { 0.05,4 } ^ { 2 } = χ 2 > χ 0.05 , 4 2 = 9.488. Test statistic: x 2 = x ^ { 2 } = x 2 = 27.372. p-value = 0.0. Conclusion: Reject the null hypothesis. Yes.

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A Large Carpet Store Wishes to Determine If the Brand

Question 2

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: $\begin{array} { | l | c | c | c | } \hline & \multicolumn{3}{|c|} { \text { Brand of Carpet } } \\\hline \text { Family income } & \text { Brand A } & \text { Brand B } & \text { Brand C } \\\hline \text { High income } & 65 & 32 & 32 \\\hline \text { Middle income } & 80 & 68 & 104 \\\hline \text { Low income } & 25 & 35 & 59 \\\hline\end{array}$ At the 5% level of significance, can you conclude that the brand of carpet purchased is related to the purchaser's family income?

A Large Carpet Store Wishes to Determine If the Brand

Essay

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