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The Following Table Shows the Myers-Briggs Personality Preferences for a Random

Question 20

Multiple Choice

The following table shows the Myers-Briggs personality preferences for a random sample of 408 people in the listed professions.  Occupation  Extroverted  Introverted  Row Total  Clergy (all denominations)  6048108 M.D. 7091161 Lawyer 5881139 Column Total 188220408\begin{array} { l | l | l | l } \text { Occupation } & \text { Extroverted } & \text { Introverted } & \text { Row Total } \\\hline \text { Clergy (all denominations) } & 60 & 48 & 108 \\\hline \text { M.D. } & 70 & 91 & 161 \\\hline \text { Lawyer } & 58 & 81 & 139 \\\hline \text { Column Total } & 188 & 220 & 408 \\\hline\end{array} Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. If and the degrees of freedom are 2, find (or estimate) the P-value of the sample test statistic.
χ2=5.402\chi ^ { 2 } = 5.402


A) 0.05 < P-Value < 0.10
B) P-Value > 0.5
C) P-Value < 0.005
D) 0.025 < P-Value < 0.05
E) 0.25 < P-Value < 0.5

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