A survey was taken of randomly selected Americans, age 65 and older, which found that 412 of 1007 men and 549 of 1065 women suffered from some form of arthritis.

a) Are the assumptions and conditions necessary for inference satisfied? Explain.

b) Create a 95% confidence interval for the difference in the proportions of senior men and women who have this disease.

c) Interpret your interval in this context.

d) Does this suggest that arthritis is more likely to afflict women than men? Explain.