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	99	45	95	53	22
Not Work Study	87	74	108	87	37

R vector Data: 99,87,45,74,95,108,53,87,22,37

Contingency Table

  What can be concluded at the αα = 0.05 significance level

1. What is the correct statistical test to use?
   Select an answer Independence Homogeneity Goodness-of-Fit Paired t-test  
   
   
2. What are the null and alternative hypotheses?
   H0:H0: Select an answer Race and work study status are independent. 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 dependent. The racial distribution for students on work study is not the same as it is for students not on work study.
   
   
   H1:H1: Select an answer 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 dependent. 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 independent.
3. The test-statistic for this data = (Please show your answer to three decimal places.)
   
4. The p-value for this sample =(Please show your answer to four decimal places.)
   
5. The p-value is Select an answer greater than less than (or equal to)  αα  
   
6. Based on this, we should Select an answer fail to reject the null accept the null reject the null  
   
   
7. Thus, the final conclusion is... Select an answer At the 5% significance level, the data provides 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. At the 5% significance level, the data provides 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.

Answer 1