A Survey of Automobiles Parked in Student and Staff Lots

question 59

Multiple Choice

A survey of automobiles parked in student and staff lots at a large university classified the brands by country of origin.The results are listed in the table below,and a graphical display of the conditional distributions of origin by driver is given. $\begin{array}{|l|cc|}&\text { Driver }\\\hline \text {origin }& \text { Student } & \text { Staff } \\\hline \text { North American } & 101 & 79 \\\text { European } & 33 & 51 \\\text { Asian } & 68 & 29 \\\hline\end{array}$ Do you think that origin of the car is independent of the type of driver? Explain.

• A)Yes.The conditional distributions of origin by driver have similarities and differences.The two groups own nearly the same percentage of American cars.Therefore,because of this one similarity,driver and origin must be independent.
• B)No.The conditional distributions of origin by driver have similarities and differences.Although students appear to own a higher percentage of Asian cars and a smaller percentage of European cars than the staff,the two groups own nearly the same percentage of American cars.However,because of the differences,there is evidence of an association between driver and origin.
• C)No.The conditional distributions of origin by driver have similarities and differences.Students own a higher percentage of Asian and European cars than the staff.Therefore,because of this difference,there must be an association between driver and origin.
• D)No.The conditional distributions of origin by driver have similarities and differences.Although staff appear to own a higher percentage of Asian cars and a smaller percentage of European cars than the students,the two groups own nearly the same percentage of American cars.However,because of the differences,there is evidence of an association between driver and origin.
• E)Yes.The conditional distributions of origin by driver have similarities and differences.Although students appear to own a higher percentage of Asian cars and a smaller percentage of European cars than the staff,the two groups own nearly the same percentage of American cars.However,because there are more students than staff,an association between driver and origin cannot be claimed.

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