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

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 entrepreneur who drive American, European, and Japanese cars differ.

$\begin{array}{ccc}\text { U.S. } & \text { Europe } & \text { Japan } \\\hline 40 & 35 & 25 \\\hline\end{array}$

In order to determine whether the true proportions in each response category differ, a one-way chi-square analysis should be conducted. When calculating the test statistic, what values for the expected counts should be used in the calculation?

A) $\mathrm { E } _ { 1 } = 33.33 , \mathrm { E } _ { 2 } = 33.33 , \mathrm { E } _ { 3 } = 33.33$
B) $\mathrm { E } _ { 1 } = 46 , \mathrm { E } _ { 2 } = 44 , \mathrm { E } _ { 3 } = 9$
C) $\mathrm { E } _ { 1 } = 100 , \mathrm { E } _ { 2 } = 100 , \mathrm { E } _ { 3 } = 100$
D) $\mathrm { E } _ { 1 } = 0.45 , \mathrm { E } _ { 2 } = 0.46 , \mathrm { E } _ { 3 } = 0.09$