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-BriggsPreference Arts & Science Business Allied Health Row Total IN 64 11 21 96 EN 84 38 32 154 IS 54 33 28 115 ES 71 37 46 154 Column Total 273 119 127 519 Use a chi-square test to determine if Myers-Briggs preference type is independent of area of study at the 0.05 level of significance. 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) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) C) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
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 | 11 | 21 | 96 |
| EN | 84 | 38 | 32 | 154 |
| IS | 54 | 33 | 28 | 115 |
| ES | 71 | 37 | 46 | 154 |
| Column Total | 273 | 119 | 127 | 519 |
Use a chi-square test to determine if Myers-Briggs preference type is independent of area of study at the 0.05 level of significance.
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) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)
C) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
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