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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
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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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