Question Help A survey was taken of randomly selected Americans, age 65 and older, which found that 414 of 1006 men and 549 of 1063 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. a) Are the assumptions and conditions necessary for inference satisfied? Explain. O A. No, it was not a random sample. O B. No, the groups were not independent. C. Yes, it was a random sample, less than 10% of the population was sampled, the groups were independent, and there were more than 10 successes and failures in each group. O D. No, more than 10% of the population was sampled. b) Let p, be the sample proportion of senior women suffering from some form of arthritis, and let p2 be the sample proportion of senior men suffering from some form of arthritis. Create a 95% confidence interval for the difference in the proportions of senior men and women who have this disease, P1 - P2- The confidence interval is (],) (Round to three decimal places as needed.)