Note: you only need to include responses to questions from the 'Results' section the Lab Assignment Guide. Upload your Word document into Canvas. Problems (16 pts) 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 38% Campus housing 26% Off-campus rental 18% Own off-campus housing 18% Does the living situation distribution of UT Austin students differ from the national distribution? (7 pts) Use a critical value of 7.815. A random sample of UT students resulted in the following information: Parents' home 458 Campus housing 220 Off-campus rental 168 Own off-campus housing 140 a. What are the null and alternate 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. (2 pt)