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 Row Total 56 92 148 159 73 86 119 93 271 212 Column Total 248 519 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? 0.01 State the null and alternate hypotheses. O H: Myers-Briggs preference and profession are independent. H,: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are independent. H,: Myers-Briggs preference and profession are independent. O Hn: Myers-Briggs preference and profession are not independent. H,: Myers-Briggs preference and profession are 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.) 12.01 Are all the expected frequencies greater than 5? © Yes O No What sampling distribution will you use? O binomial O Student's t O normal
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 Row Total 56 92 148 159 73 86 119 93 271 212 Column Total 248 519 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? 0.01 State the null and alternate hypotheses. O H: Myers-Briggs preference and profession are independent. H,: Myers-Briggs preference and profession are not independent. O Ho: Myers-Briggs preference and profession are independent. H,: Myers-Briggs preference and profession are independent. O Hn: Myers-Briggs preference and profession are not independent. H,: Myers-Briggs preference and profession are 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.) 12.01 Are all the expected frequencies greater than 5? © Yes O No What sampling distribution will you use? O binomial O Student's t O normal
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 519 people in the listed professions. T refers to thinking and F refers to feeling.
Personality Type
Occupation
Clergy (all denominations)
Row Total
56
92
148
M.D.
73
86
159
Lawyer
Column Total
119
93
212
248
271
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?
0.01
State the null and alternate hypotheses.
O Ho: Myers-Briggs preference and profession are independent.
H,: Myers-Briggs preference and profession are not independent.
Ho: Myers-Briggs preference and profession are independent.
H,: Myers-Briggs preference and profession are independent.
O 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 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.)
12.01
Are all the expected frequencies greater than 5?
Yes
No
What sampling distribution will you use?
binomial
Student's t
normal
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