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. the level of significance is 0.05 Myers-Briggs Preference Arts & Science Business Allied Health Row Total IN 69 9 18 96 EN 85 37 32 154 IS 54 40 21 115 ES 75 46 33 154 Column Total 283 132 104 519 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. the level of significance is 0.05

Myers-Briggs
Preference
Arts & Science Business Allied Health Row Total
IN 69 9 18 96
EN 85 37 32 154
IS 54 40 21 115
ES 75 46 33 154
Column Total 283 132 104 519

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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