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I need questions b and what are the degree of freedom. The following table shows the Myers-Briggs personality preferences for a random sample of 519

I need questions b and what are the degree 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. T refers to thinki and F refers to feeling Personality Type Occupation Row Total Clergy (all denominations) 56 92 148 M.D. 80 79 159 Lawyer 114 98 212 Column Total 250 269 519 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. (a) What is the level of significance? 0.01 State the null and alternate hypotheses Ho: Myers-Briggs preference and profession are not independent. Hy: Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are independent. Hy: Myers-Briggs preference and profession are independent. Ho: Myers-Briggs preference and profession are not independent. H: Myers-Briggs preference and profession are not independent. Ho: Myers-Briggs preference and profession are independent. Hy: Myers-Briggs preference and profession are not independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? normal . chi-square Student's t binomial uniform What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. p-value > 0.100 0.050

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