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 Row Total Occupation Clergy (all denominations) M.D. Lawyer Column Total 107 58 66 49 96 162 137 406 51 86 175 231 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? 0.05 State the null and alternate hypotheses.
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 Row Total Occupation Clergy (all denominations) M.D. Lawyer Column Total 107 58 66 49 96 162 137 406 51 86 175 231 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? 0.05 State the null and alternate hypotheses.
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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please answer blank questions only and or ones with a red x next to them.
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
Row Total
Occupation
Clergy (all denominations)
58
49
107
М.D.
66
96
162
51
86
137
Lawyer
Column Total
175
231
406
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?
0.05
State the null and alternate hypotheses.
Ho: Myers-Briggs preference and profession are not 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 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.
(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?
Yes
O No
What sampling distribution will you use?
O normal
O binomial
uniform
MacBook Pro
Transcribed Image Text:What sampling distribution will you use?
O normal
O binomial
O uniform
O Student's t
chi-square
What are the degrees of freedom?
(c) Find or estimate the P-value of the sample test statistic.
O p-value > 0.100
O 0.050 < p-value < 0.100
O 0.025 < p-value < 0.050
0.010 < p-value < 0.025
O 0.005 < p-value < 0.010
O p-value < 0.005
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
O Since the P-value > , we fail to reject the null hypothesis.
O Since the P-value > a, we reject the null hypothesis.
Since the P-value < a, we reject the null hypothesis.
O Since the P-value < a, we fail to reject the null hypothesis.
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