Question

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. Frequencies of Race for Students On and Not On Work Study White Black Hispanic Asian Other Work Study 96 45 93 69 23 Not Work Study 66 63 90 87 34 What can be concluded at the a-0.10 significance level a. What is the correct statistical test to use? Independence Homogeneity Paired t-test Goodness-of-Fit b. What are the null and alternative hypotheses? The racial distribution for students on work study is not the same as it is for students not on work study Race and work study status are dependent The racial distribution for students on work study is the same as it is for students not on work study. Race and work study status are independent H: The racial distribution for students co work study is the same as it is for students not on work study Race and work study status are dependent Race and work study status are independent 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 (Please show your answer to three decimal places.) d. The p-value for this sample Please show your answer to four decimal places.) e. The p-value is Select an answer f. Based on this, we should accept the null fail to reject the null reject the null

Answer 1

a. Paired t-test

b. H0: The racial distribution for students on work study is same as it is for students not on work study.

    Ha: The racial distribution for students on work study is not the same as it is for students not on work study.

c. The test staistic for this data = - 0.309

d. The p-value for this sample = 0.7725

f. Based on this, we should: accept the null