The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling. Personality Type Occupation Clergy (all denominations) M.D. Lawyer Column Total F Row Total 52 96 148 72 87 159 117 95 212 241 278 519 A USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 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
The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T refers to thinking and F refers to feeling. Personality Type Occupation Clergy (all denominations) M.D. Lawyer Column Total F Row Total 52 96 148 72 87 159 117 95 212 241 278 519 A USE SALT Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The following table shows the Myers-Briggs personality preferences for a random sample of 519 people in the listed professions. T
refers to thinking and F refers to feeling.
Personality Type
Occupation
Clergy (all denominations)
M.D.
Lawyer
Column Total
F
Row Total
52
96
148
72
87
159
117
95
212
241
278
519
A USE SALT
Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 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?
O normal
Student's t
O chi-square
O uniform
O binomial
What are the degrees of freedom?
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