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?

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?

A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. D Black Color of Helmet Yellow 32 Blue White 331 Controls (not injured) Red 159 482 100 Cases (injured or 211 109 8 65 47 killed) Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Whether a crash occurs and helmet color are dependent H₁: Whether a crash occurs and helmet color are independent OB. Ho: Injuries and helmet color are dependent H₁: Injuries and helmet color are independent OC. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent O D. Ho: Injuries and helmet color are independent H₁: Injuries…
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Personality preferences for a random sample of 519 people in the listed professions are shown in the following table. T refers to THINKING and F refers to FEELING. Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. Occupation T F Row Total Clergy 57 91 148 M.D. 77 82 159 Lawyer 118 94 212 Column Total 252 267 519
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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