SOLUTION: The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.
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Question 634193: The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.
Personality Type
Occupation EI Row Total
Clergy (all denominations) 67 40 107
M.D. 67 95 162
Lawyer 56 81 137
Column Total 190 216 406
Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.
(a) What is the level of significance? = ________
(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.) = ________
What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted.
Personality Type
Occupation E I Row Total
Clergy (all denominations) 67 40 107
M.D. 67 95 162
Lawyer 56 81 137
Column Total 190 216 406
Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.
(a) What is the level of significance? = 5%
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. ChiSq = 14.610
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What are the degrees of freedom?
Ans: 2
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(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
Ans: 0.000672
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Cheers,
Stan H.
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