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 Agreeable Neurotic Business 70 46 98 56 24 Social Science 92 67 70 87 32 What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Homogeneity Independence Goodness-of-Fit Paired t-test What are the null and alternative hypotheses? H0:H0: The distribution of personality types for business majors is not the same as it is for social science majors. 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. H1:H1: The distribution of personality types for business majors is the same as it is for social science majors. 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 test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer less than (or equal to) greater than αα Based on this, we should reject the null accept the null fail to reject the null Thus, the final conclusion is... 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. There is insufficient evidence to conclude that personality type and major are dependent. 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. There is sufficient evidence to conclude that personality type and major are dependent. 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.

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 Agreeable Neurotic Business 70 46 98 56 24 Social Science 92 67 70 87 32 What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Homogeneity Independence Goodness-of-Fit Paired t-test What are the null and alternative hypotheses? H0:H0: The distribution of personality types for business majors is not the same as it is for social science majors. 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. H1:H1: The distribution of personality types for business majors is the same as it is for social science majors. 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 test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.) The p-value is Select an answer less than (or equal to) greater than αα Based on this, we should reject the null accept the null fail to reject the null Thus, the final conclusion is... 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. There is insufficient evidence to conclude that personality type and major are dependent. 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. There is sufficient evidence to conclude that personality type and major are dependent. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

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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	Agreeable	Neurotic
Business	70	46	98	56	24
Social Science	92	67	70	87	32

What can be concluded at the αα = 0.10 significance level?

What is the correct statistical test to use?
- Homogeneity
- Independence
- Goodness-of-Fit
- Paired t-test
What are the null and alternative hypotheses?
H0:H0:
- The distribution of personality types for business majors is not the same as it is for social science majors.
- 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.
H1:H1:
- The distribution of personality types for business majors is the same as it is for social science majors.
- 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 test-statistic for this data = (Please show your answer to three decimal places.)
The p-value for this sample = (Please show your answer to four decimal places.)
The p-value is Select an answer less than (or equal to) greater than αα
Based on this, we should
- reject the null
- accept the null
- fail to reject the null
Thus, the final conclusion is...
- 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.
- There is insufficient evidence to conclude that personality type and major are dependent.
- 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.
- There is sufficient evidence to conclude that personality type and major are dependent.
- 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.

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