Question

In: Statistics and Probability

The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in...

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)

64

43

107

M.D.

63

99

162

Lawyer

54

83

137

Column Total

181

225

406

(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.)

Solutions

Expert Solution

The following cross tablulation have been provided. The row and column total have been calculated and they are shown below:

Column 1 Column 2 Total
Row 1 64 43 107
Row 2 63 99 162
Row 3 54 83 137
Total 181 225 406

test statistic = 13.652


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