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 E I Row Total Clergy (all denominations) 61 46 107 M.D. 66 96 162 Lawyer 58 79 137 Column Total 185 221 406 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. H0: Myers-Briggs preference and profession are not independentH1: Myers-Briggs preference and profession are independent.H0: Myers-Briggs preference and profession are independentH1: Myers-Briggs preference and profession are independent. H0: Myers-Briggs preference and profession are not independentH1: Myers-Briggs preference and profession are not independent.H0: Myers-Briggs preference and profession are independentH1: Myers-Briggs preference and profession are not 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.)
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 E I Row Total Clergy (all denominations) 61 46 107 M.D. 66 96 162 Lawyer 58 79 137 Column Total 185 221 406 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. H0: Myers-Briggs preference and profession are not independentH1: Myers-Briggs preference and profession are independent.H0: Myers-Briggs preference and profession are independentH1: Myers-Briggs preference and profession are independent. H0: Myers-Briggs preference and profession are not independentH1: Myers-Briggs preference and profession are not independent.H0: Myers-Briggs preference and profession are independentH1: Myers-Briggs preference and profession are not 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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
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 | E | I | Row Total |
Clergy (all denominations) | 61 | 46 | 107 |
M.D. | 66 | 96 | 162 |
Lawyer | 58 | 79 | 137 |
Column Total | 185 | 221 | 406 |
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.
(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.)
State the null and alternate hypotheses.
H0: Myers-Briggs preference and profession are not independent
H1: Myers-Briggs preference and profession are independent.H0: Myers-Briggs preference and profession are independent
H1: Myers-Briggs preference and profession are independent. H0: Myers-Briggs preference and profession are not independent
H1: Myers-Briggs preference and profession are not independent.H0: Myers-Briggs preference and profession are independent
H1: Myers-Briggs preference and profession are not independent.
H1: Myers-Briggs preference and profession are independent.H0: Myers-Briggs preference and profession are independent
H1: Myers-Briggs preference and profession are independent. H0: Myers-Briggs preference and profession are not independent
H1: Myers-Briggs preference and profession are not independent.H0: Myers-Briggs preference and profession are independent
H1: Myers-Briggs preference and profession are not 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.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill