The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 college students. In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing. Myers-Briggs Preference Arts & Science Business Allied Health Row Total IN 64 8 24 96 EN 80 43 31 154 IS 56 36 23 115 ES 72 41 41 154 Column Total 272 128 119 519 (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.) (B) What are the degrees of freedom?

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The following table shows the Myers-Briggs personality preference and area of study for a random sample of 519 college students. In the table, IN refers to introvert, intuitive; EN refers to extrovert, intuitive; IS refers to introvert, sensing; and ES refers to extrovert, sensing.

Myers-Briggs
Preference
Arts & Science Business Allied Health Row Total
IN 64 8 24 96
EN 80 43 31 154
IS 56 36 23 115
ES 72 41 41 154
Column Total 272 128 119 519

 

(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.)

(B) What are the degrees of freedom?

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