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 OccupationEIRow TotalClergy (all denominations)6146107M.D.6498162Lawyer5681137Column Total181225406Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.(a) 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.)

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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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)	61	46	107
M.D.	64	98	162
Lawyer	56	81	137
Column Total	181	225	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) 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.)

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