The following table shows the Myers-Briggs personality preferences for a random sample of 407 people in the listed professions. Occupation Extroverted Introverted Row Total Clergy (all denominations) 64 42 106 M.D. 69 94 163 Lawyer 54 84 138 Column total 187 220 407 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. What are the degrees of freedom? 4 3 2 5 6
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To do this, we multiply the row total by the column total and divide by the overall total. For example, for the first cell (Extroverted Clergy), we have: Expected frequency = (106 * 187) / 407 Now, we need to calculate the chi-square statistic. To do this, we Show more…
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The following table shows the Myers-Briggs personality preferences for a random sample of 410 people in the listed professions: Suppose that we use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. What are the degrees of freedom?
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The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions (Atlas of Type Tables by Macdaid, McCaulley, and Kainz). T refers to thinking and F refers to feeling. $$\begin{array}{l|c|c|c} \hline \multirow{2}{*} {\text { Occupation }} & \multicolumn{2}{c} {\text { Personality Preference Type }} \\ \)\cline { 2 - 5 } & \( \mathrm{T} & \mathrm{F} & \text { Row Total } \\ \hline \text { Clergy (all denominations) } & 57 & 91 & 148 \\ \hline \text { M.D. } & 77 & 82 & 159 \\ \hline \text { Lawyer } & 118 & 94 & 212 \\ \hline \text { Column Total } & 252 & 267 & 519 \\ \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.
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The following table shows the Myers-Briggs personality preferences for a random sample of 400 people in the listed professions: Occupation Extroverted Introverted Row Total Clergy (all denominations) 61 46 107 M.D. 68 90 158 Lawyer 53 82 135 Column Total 182 218 400 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.1 level of significance. What are the degrees of freedom?
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