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. Level of significance 0.05   Personality Type   Occupation E I Row Total Clergy (all denominations) 59 48 107 M.D. 66 96 162 Lawyer 56 81 137 Column Total 181 225 406   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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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. Level of significance 0.05

  Personality Type  
Occupation E I Row Total
Clergy (all denominations) 59 48 107
M.D. 66 96 162
Lawyer 56 81 137
Column Total 181 225 406

 

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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