Be sure to show your work for problems that require calculation. 1. A USA Today story reported the college students living situation reflects the following percentages: Parents' home 43% Campus housing 26% Off-campus rental 18% Own off-campus housing 13% Does the living situation distribution of Harvard students differ from the national distribution? (6.5 pts) Use a critical value of 7.815. A random sample of Harvard students resulted in the following information: Parents' home 464 Campus housing 220 Off-campus rental 168 Own off-campus housing 93
a. What are the null and alternative hypotheses for this test? (1 pt)
b. Calculate the expected counts for this distribution. (1 pt)
c. What are the conditions for this test? Are they met? Why or why not? (1 pt)
d. Perform the chi-square test for goodness of fit to answer the question above. Show your work. (1.5 pt) e. Write an appropriate conclusion for this test. (2 pts) Remember to show your work!!