MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
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Transcribed Image Text:A psychologist is interested in testing whether there is a difference in the distribution of personality types
for business majors and social science majors. The results of the study are shown below.
Personality Frequencies for Business and Social Science Majors
Conscientious
Оpen
Extrovert Agreeable
Neurotic
Business
74
40
87
55
24
Social Science
60
73
84
85
33
What can be concluded at the a = 0.01 significance level?
a. What is the correct statistical test to use?
O Goodness-of-Fit
O Independence
O Homogeneity
Paired t-test
b. What are the null and alternative hypotheses?
Hn:
O The distribution of personality types for business majors is the same as it is for social science
majors.
O Personality type and major are dependent.
The distribution of personality types for business majors is not the same as it is for social
science majors.
O Personality type and major are independent.
H:
O Personality type and major are independent.
Personality type and major are dependent.
The distribution of personality types for business majors is not the same as it is for social
science majors.
The distribution of personality types for business majors is the same as it is for social science
majors.
c. The test-statistic for this data = -1.204
x| (Please show your answer to three decimal places.)
d. The p-value for this sample = 0.2954
x (Please show your answer to four decimal places.)
e. The p-value is preater than
f. Based on this, we should
accept the null
O reject the null
fail to reject the null
g. Thus, the final conclusion is...
There is insufficient evidence to conclude that personality type and major are dependent.
O There is sufficient evidence to conclude that the distribution of personality types for business
majors is not the same as it is for social science majors.
There is insufficient evidence to conclude that the distribution of personality types for
business majors is not the same as it is for social science majors.
O There is sufficient evidence to conclude that personality type and major are dependent.
O There is sufficient evidence to conclude that the distribution of personality types for business
majors is the same as it is for social science majors.
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