The Centers for Disease Control and Prevention reported a survey of randomly selected Americans age 65 and older, which found that 411 of 1012 men and 535 of 1062 women suffered from some form of arthritis.

a) Are the assumptions/conditions met? Show each one. What is the name of the interval you will use? (AN)

b) Find a 98% confidence interval for the difference in the proportions of senior men and women who have arthritis. (I)

c) Interpret your interval in context. (C)