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A Survey of Entrepreneurs Focused on Their Job Characteristics, Work  U.S.  Europe  Japan 403525\begin{array}{ccc}\text { U.S. } & \text { Europe } & \text { Japan } \\\hline 40 & 35 & 25 \\\hline\end{array}

Question 39

Short Answer

A survey of entrepreneurs focused on their job characteristics, work habits, social activities, leisure time, etc. One question put to each entrepreneur was, "What make of car (U.S., Europe, or Japan) do you drive?" The responses (number in each category) for a sample of 100 entrepreneurs are summarized below. The goal of the analysis is to determine if the proportions of entrepreneurs who drive American, European, and Japanese cars differ. U.S. Europe Japan  U.S.  Europe  Japan 403525\begin{array}{ccc}\text { U.S. } & \text { Europe } & \text { Japan } \\\hline 40 & 35 & 25 \\\hline\end{array}

In order to determine whether the true proportions in each response category differ, a one-way chi-square analysis should be conducted. Use the chi-square distribution to determine the rejection region when testing at α=0.025\alpha = 0.025 .
A) Reject H0\mathrm { H } _ { 0 } if χ2>11.1433\chi ^ { 2 } > 11.1433
B) Reject H0\mathrm { H } _ { 0 } if χ2>9.34840\chi ^ { 2 } > 9.34840
C) Reject H0\mathrm { H } _ { 0 } if χ2>9.21034\chi ^ { 2 } > 9.21034
D) Reject H0\mathrm { H } _ { 0 } if χ2>7.37776\chi ^ { 2 } > 7.37776

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