The University of Gooseville, as part of its recruitment strategy, advertises that its co-op students' unemploy- ment rate was 5.3% in Fall 2018. Their data is based on a simple random sample without replacement of size n = 100, and below is the table of sample size (na) and unemployment rate per faculty (Th). AHS Arts Engineering Environment Math Science nh 5 10 3 10 10 Th 0.015 0.005 0.12 0.018 0.005 0.015 (a) How did the University of Gooseville calculate an unemployment rate of 5.3% using the data above? Show your calculations. (b) Here are the number of students per faculty (Na) at the University of Gooseville during Fall 2018. AHS Arts Engineering Environment Math Science Nh 2500 6500 7600 2100 7200 5600 i. Complete the table below with the sample stratum weights (wa) and population stratum weights ( Wh). AHS Arts Engineering | Environment Math Science Wh Wh ii. Is the co-op unemployment rate advertised by the University of Gooseville a proper representation of the true unemployment rate of its co-op students? Explain. iii. Calculate a post-stratified estimate of the co-op unemployment rate in Fall 2018, along with a 90% confidence interval. vi. Calculate a post-stratified estimate of the number of co-op students employed in Fall 2018, along with a 90% confidence interval