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The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation Clergy (all denominations) M.D. Lawyer Column Total Row Total 62 45 107 67 95 162 56 81 137 406 185 221 A USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Myers-Briggs preference and profession are independent H,: Myers-Briggs preference and profession are independent. Ho: Myers-Briggs preference and profession are independent H,: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are not independent. O Họ: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are independent. (b) 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.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O uniform O Student'st O normal binomial chi-square What are the degrees of freedom?

The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation Clergy (all denominations) M.D. Lawyer Column Total Row Total 62 45 107 67 95 162 56 81 137 406 185 221 A USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Myers-Briggs preference and profession are independent H,: Myers-Briggs preference and profession are independent. Ho: Myers-Briggs preference and profession are independent H,: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are not independent. O Họ: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are independent. (b) 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.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O uniform O Student'st O normal binomial chi-square What are the degrees of freedom?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation Clergy (all denominations) E I Row Total 62 45 107 M.D. 67 95 162 137 Lawyer Column Total 56 81 185 221 406 n USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Myers-Briggs preference and profession are independent H,: Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are independent H,: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are independent. (b) 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.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? uniform Student's t normal binomial O chi-square What are the degrees of freedom?
Transcribed Image Text:The following table shows the Myers-Briggs personality preferences for a random sample of 406 people in the listed professions. E refers to extroverted and I refers to introverted. Personality Type Occupation Clergy (all denominations) E I Row Total 62 45 107 M.D. 67 95 162 137 Lawyer Column Total 56 81 185 221 406 n USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.05 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Myers-Briggs preference and profession are independent H,: Myers-Briggs preference and profession are independent. O Ho: Myers-Briggs preference and profession are independent H,: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are not independent H: Myers-Briggs preference and profession are independent. (b) 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.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? uniform Student's t normal binomial O chi-square What are the degrees of freedom?
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