a) (8 points) A study was conducted to investigate the association between retirement status and heart disease.To asses this potential relationship, 127 victims of cardiac arrest were matched on age and sex with 127 healthy control subjects.In 27 pairs both the cardiac arrest and healthy individuals were retired, in 68 pairs neither the cardiac arrest or healthy individuals were retired, in 12 pairs the healthy individual was retired but the cardiac arrest individual was not, and in 20 pairs the cardiac arrest individual was retired but the healthy individual was not.What is the name of the most appropriate test to determine whether cardiac arrest occurs more often in those who are retired?[You do not need to perform the test, just state which is the most appropriate test and why].Also is a one-sided or two-sided test more appropriate?Why?

c) (8 points) A study was conducted to investigate whether oat bran cereal helps to lower serum cholesterol levels in hypercholesterolemic males.50 such individuals were randomly placed on a diet that included either oat bran or corn flakes.After two weeks, their low-density lipoprotein (LCL) cholesterol levels were recorded.Each man was then switched to the alternative diet.After a second two-week period, the LDL cholesterol level of each individual was again recorded.What is the name of the most appropriate test to determine whether oat bran cereal helps to lower serum cholesterol levels in hypercholesterolemic males?Why?Also state whether a one-sided or two-sided test is more appropriate.Why?