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.
Occupation (all denominations) 59 48 107
M.D. 66 96 162
Lawyer 55 82 137
Column Total 180 226 406
Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance.
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.)