The following table shows the Myers-Briggs personality preferences for a random sample of 402 people in the listed professions. $$\begin{array} { l | l | l | l }
\text { Occupation } & \text { Extroverted } & \text { Introverted } & \text { Row Total } \
\hline \text { Clergy (all denominations) } & 60 & 46 & 106 \
\hline \text { M.D. } & 70 & 92 & 162 \
\hline \text { Lawyer } & 53 & 81 & 134 \
\hline \text { Column Total } & 183 & 219 & 402 \
\hline
\end{array}$$ Use the chi-square test to determine if the listed occupations and personality preferences are independent at . State the null and alternate hypotheses.
$\alpha = 0.01$
A)Myers-Briggs preference and profession are not independent; Myers-Briggs preference is independent whereas profession is not independent $H _ { 0 } :$ $H _ { 1 }$
B)Myers-Briggs preference and profession are independent; Myers-Briggs preference is not independent whereas profession is independent $H _ { 0 } :$ $H _ { 1 }$:
C)Myers-Briggs preference and profession are not independent; Myers-Briggs preference and profession are independent $H _ { 0 } :$ $H _ { 1 }$:
D)Myers-Briggs preference is independent whereas profession is not independent; Myers-Briggs preference is not independent whereas profession is independent $H _ { 0 } :$ $H _ { 1 }$:
E)Myers-Briggs preference and profession are independent; Myers-Briggs preference and profession are not independent $H _ { 0 } :$ $H _ { 1 }$:

Question

The following table shows the Myers-Briggs personality preferences for a random sample of 402 people in the listed professions. $$\begin{array} { l | l | l | l } 
\text { Occupation } & \text { Extroverted } & \text { Introverted } & \text { Row Total } \
\hline \text { Clergy (all denominations) } & 60 & 46 & 106 \
\hline \text { M.D. } & 70 & 92 & 162 \
\hline \text { Lawyer } & 53 & 81 & 134 \
\hline \text { Column Total } & 183 & 219 & 402 \
\hline
\end{array}$$ Use the chi-square test to determine if the listed occupations and personality preferences are independent at . State the null and alternate hypotheses.
$\alpha = 0.01$
A)Myers-Briggs preference and profession are not independent; Myers-Briggs preference is independent whereas profession is not independent $H _ { 0 } :$ $H _ { 1 }$
B)Myers-Briggs preference and profession are independent; Myers-Briggs preference is not independent whereas profession is independent $H _ { 0 } :$ $H _ { 1 }$:
C)Myers-Briggs preference and profession are not independent; Myers-Briggs preference and profession are independent $H _ { 0 } :$ $H _ { 1 }$:
D)Myers-Briggs preference is independent whereas profession is not independent; Myers-Briggs preference is not independent whereas profession is independent $H _ { 0 } :$ $H _ { 1 }$:
E)Myers-Briggs preference and profession are independent; Myers-Briggs preference and profession are not independent $H _ { 0 } :$ $H _ { 1 }$:

Quizplus · Accepted Answer

The null hypothesis (H0) always states that there is no effect or no difference, so in this context, it would state that Myers-Briggs preference and profession are independent. The alternative hypothesis (H1) is the opposite, stating that Myers-Briggs preference and profession are not independent.

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