Is the racial distribution for students on work study different from the racial distribution for students not on work study? The results of a recent study are shown below. Work Study Not Work Study What can be concluded at the a = 0.05 significance level a. What is the correct statistical test to use? 0 Independence O Homogeneity O Goodness-of-Fit O Paired t-test b. What are the null and alternative hypotheses? H0 : 0 Race and work study status are dependent. O The racial distribution for students on work study is not the same as it is for students not on work study. 0 The racial distribution for students on work study is the same as it is for students not on work study. 0 Race and work study status are independent. 0 Race and work study status are independent. 0 The racial distribution for students on work study is the same as it is for students not on work study. 0 Race and work study status are dependent. O The racial distribution for students on work study is not the same as it is for students not on work study. c. The test-statistic for this data = C] (Please show your answer to three decimal places.) d. The p-value for this sample = C(Please show your answer to four decimal places.) 6- The P-value 1'5 a f. Based on this, we should 0 accept the null O fail to reject the null 0 rr-I'iPrt the null g. Thus, the final conclusion is... 0 There is sufficient evidence to conclude that race and work study status are dependent. 0 There is insufficient evidence to conclude that the racial distribution for students on work study is not the same as it is for students not on work study. 0 There is sufficient evidence to conclude that the racial distribution for students on work study is the same as it is for students not on work study. 0 There is sufficient evidence to conclude that the racial distribution for students on work study is not the same as it is for students not on work study. 0 There is insufficient evidence to conclude that race and work study status are dependent. 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. - uencies for Business and Social Science Ma ors Conscientious Extrovert Agreeable Neurotic 57 24 31 Business Social Science What can be concluded at the o: = 0.10 significance level? a. What is the correct statistical test to use? 0 Goodness-ofFit O Paired t-test 0 Independence O Homogeneity b. What are the null and alternative hypotheses? H0 2 O The distribution of personality types for business majors is the same as it is for social science majors. 0 Personality type and major are independent. 0 Personality type and major are dependent. O The distribution of personality types for business majors is not the same as it is for social science majors. O The distribution of personality types for business majors is the same as it is for social science majors. 0 Personality type and major are dependent. O Personality type and major are independent. 0 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 = C] (Please show your answer to three decimal places.) d. The p-value for this sample = C(Please show your answer to four decimal places.) a The P-value is a f. Based on this, we should 0 reject the null O accept the null O fail to reject the null g. Thus, the final conclusion is... 0 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. 0 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. 0 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. 0 There is insufficient evidence to conclude that personality type and major are dependent. 0 There is sufficient evidence to conclude that personality type and major are dependent