Fc 11 11. Chapter 11 Section 11.1, Problem 10 Aa Aa E The following table shows
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Fc 11
11. Chapter 11 Section 11.1, Problem 10 Aa Aa E The following table shows the Briggs personality preferences for a random sample of 519 people in the listed professions (Atlas of Type Tables by Macdaid, McCaulley, and Kainz). Personality Preference Type Thinking Occupation Feeling Row Total clergy (all denominations) 57 148 M.D. 77 82 159 118 212 Lawyer Column Total 252 267 519 Use the chi-square test to determine whether the listed occupations and personality preferences are independent at the 0.01 level of significance.Explanation / Answer
H0: myers briggs preference and profession are independent
Ha: Myers briggs preference and profession are not independent
The contingency table below provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].
Note: expected count = (row total*column total)/sample size
The chi-square statistic is 10.2601.
degree of freedom = (r - 1) (c - 1) = (3-1)*(2-1) = 2*1 = 2
0.005 < p < 0.01
Since pvalue < , you will reject the null hypothesis
At the 1% significance level, there is sufficient evidence to conclude that Myers briggs preference and profession are not independent
Thinking Feeling Row Totals Clergy 57 (71.86) [3.07] 91 (76.14) [2.90] 148 M.D 77 (77.20) [0.00] 82 (81.80) [0.00] 159 Lawyer 118 (102.94) [2.20] 94 (109.06) [2.08] 212 Column Totals 252 267 519 (Grand Total)Related Questions
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