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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 Agreeable Орen Conscientious Extrovert 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 Independence Homogeneity Paired t-test b. What are the null and alternative hypotheses? Ho: 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. 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 greater than f. Based on this, we should accept the null reject the null fail to reject the null g. Thus, the final conclusion is... O 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. 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.

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 Agreeable Орen Conscientious Extrovert 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 Independence Homogeneity Paired t-test b. What are the null and alternative hypotheses? Ho: 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. 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 greater than f. Based on this, we should accept the null reject the null fail to reject the null g. Thus, the final conclusion is... O 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. 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.

MATLAB: An Introduction with Applications
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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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.
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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