A survey was taken of randomly selected Americans, age 65 and older, which found that 408 of 1009 men and 541 of 1061 women suffered from some form of arthritis.

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

A.

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.

B.

No, the groups were not independent.

C.

No, more than 10% of the population was sampled.

D.

No, it was not a random sample.

2.b) Let p1 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. a 95% confidence interval for the difference in the proportions of senior men and women who have this disease, p 1- p 2

.The confidence interval is

3. There is 95% confidence, based on these samples, that the proportion of American women, age 65 and older, who suffer from arthritis is between % and % (less or more )than the proportion of American men of the same age who suffer from arthritis.

4.d) Does this suggest that arthritis is more likely to afflict women than men? Select the correct answer below and, if necessary, fill in the answer boxes within your choice.

A.

Yes, the entire interval lies above 0.

B.

No, the interval is too close to 0.

C.

Yes, there is 95% confidence, based on these samples, that about

% of senior women suffer from arthritis, while only %

of senior men suffer from arthritis.

(Round to one decimal place as needed.)

D.

No, a conclusion cannot be made based on the confidence interva