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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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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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