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

Multiple Choice

The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.1 level of significance. Depending on the P-value, will you reject or fail to reject the null hypothesis of independence?
$$\begin{array} { l | l | l | l } \text { Occupation } & \text { Extroverted } & \text { Introverted } & \text { Row Total } \\\hline \text { Clergy (all denominations) } & 62 & 44 & 106 \\\hline \text { M.D. } & 66 & 94 & 160 \\\hline \text { Lawyer } & 56 & 84 & 140 \\\hline \text { Column Total } & 184 & 222 & 406 \\\hline\end{array}$$

A) Since the P-value is greater than $\alpha$ , we fail to reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.1 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent.
B) Since the P-value is greater than $\alpha$ , we reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.1 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent.
C) Since the P-value is less than $\alpha$ , we reject the null hypothesis that the Myers-Briggs personality preference and profession are not independent. At 0.1 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent.
D) Since the P-value is less than $\alpha$ , we reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.1 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
E) Since the P-value is less than $\alpha$ , we fail to reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.1 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.