ing wh in the for business majors and social science majors. The results of the study are shown below. Personality Frequencies for Business and Social Science Majors Open Conscientious Extrovert Agreeable Neurotic Business 98 55 70 53 26 Social Science 100 64 107 83 33 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? Paired t-test Independence Homogeneity O Goodness-of-Fit b. What are the null and alternative hypotheses? Ho: O The distribution of personality types for business majors is not the same as it is for social science majors. H₁: Personality type and major are dependent. Personality type and major are independent. The distribution of personality types for business majors is the same as it is for social scienc majors. Personality type and major are dependent. O The distribution of personality types for business majors is the same as it is for social scienc majors. 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. c. The test-statistic for this data = d. The p-value for this sample sonality typ = e. The p-value is Select an answer f. Based on this, we should O fail to reject the null reject the null accept the null α (Please show your answer to three decimal places.) (Please show your answer to four decimal places.)

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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
Open Conscientious Extrovert
Business
98
55
70
Social Science 100
64
107
What can be concluded at the a = 0.10 significance level?
a. What is the correct statistical test to use?
Paired t-test
O Independence
Homogeneity
Goodness-of-Fit
b. What are the null and alternative hypotheses?
Ho:
H₁:
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 dependent.
Personality type and major are independent.
The distribution of personality types for business majors is the same as it is for social science
majors.
Personality type and major are dependent.
The distribution of personality types for business majors is the same as it is for social science
majors.
O Personality type and major are independent.
O The distribution of personality types for business majors is not the same as it is for social
science majors.
c. The test-statistic for this data =
d. The p-value for this sample=
Agreeable
53
83
e. The p-value is Select an answer
f. Based on this, we should
Neurotic
26
33
fail to reject the null
O reject the null
accept the null
α
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
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 Open Conscientious Extrovert Business 98 55 70 Social Science 100 64 107 What can be concluded at the a = 0.10 significance level? a. What is the correct statistical test to use? Paired t-test O Independence Homogeneity Goodness-of-Fit b. What are the null and alternative hypotheses? Ho: H₁: 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 dependent. Personality type and major are independent. The distribution of personality types for business majors is the same as it is for social science majors. Personality type and major are dependent. The distribution of personality types for business majors is the same as it is for social science majors. O Personality type and major are independent. O The distribution of personality types for business majors is not the same as it is for social science majors. c. The test-statistic for this data = d. The p-value for this sample= Agreeable 53 83 e. The p-value is Select an answer f. Based on this, we should Neurotic 26 33 fail to reject the null O reject the null accept the null α (Please show your answer to three decimal places.) (Please show your answer to four decimal places.)
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