Question

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 98 45 SO 50 27 Social Science 92 75 87 10 What can be concluded at the a-0.05 significance level? a. What is the correct statistical test to use? Independence Paired t-test Goodness-of-Fit Homogeneity b. What are the null and alternative hypotheses? H: The distribution of personality types for business majors is the same as it is for social science majors Personality type and major are independent The distribution of personality types for business majors is not the same as it is for social science majors. Personality type and major are dependent. The distribution of personality types for business majoes is the same as it is for social science majors Personality type and major are independent. The distribution of personality types for business majors is not the same as it is for social science majors Personality type and major are dependent c. The test statistic for this data- (Please show your answer to three decimal places.) d. The p-value for this sample (Please show your swer to four decimal places.) e. The p-value is Select an answer Ya f. Based on this, we should accept the null fail to reject the bull reject the wall

Answer 1

d) Pralue- P (? x?y> 13.375): 0.0096 e) As pralue a f) Based on that Ans: We reject Ho.