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

question 9

Multiple Choice

The following table shows the Myers-Briggs personality preferences for a random sample of 399 people in the listed professions. $$\begin{array} { l | l | l | l } \text { Occupation } & \text { Extroverted } & \text { Introverted } & \text { Row Total } \\\hline \text { Clergy (all denominations) } & 64 & 44 & 108 \\\hline \text { M.D. } & 69 & 90 & 159 \\\hline \text { Lawyer } & 52 & 80 & 132 \\\hline \text { Column Total } & 185 & 214 & 399 \\\hline\end{array}$$ Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. Given P-Value < 0.005, will you reject or fail to reject the null hypothesis of independence?

• 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 0.01 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 fail to reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.01 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
• C)Since the P-value is less than \(\alpha\), we reject the null hypothesis that the Myers-Briggs personality preference and profession are independent. At 0.01 level of significance, we conclude that the Myers-Briggs personality preference and profession are not independent.
• D)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 0.01 level of significance, we conclude that the Myers-Briggs personality preference and profession are 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 not independent. At 0.01 level of significance, we conclude that the Myers-Briggs personality preference and profession are independent.

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Definitions:

Payoff Matrix

A table that shows the potential outcomes of different strategies in a game or decision-making situation.

Compete

The act of entities striving against each other to attain a goal, such as a higher market share or win.

Cooperate

The act of working together towards a common goal or benefit.

Nonprice Competition

Strategies companies use to differentiate their product from competing products based on factors not related to price, such as quality or service.