Arthritis The Centers for Disease Control and Preven-tion reported a survey of randomly selected Americans age 65 and older, which found that 411 of 1012 men and535 of 1062 women suffered from some form of arthritis.a) Are the assumptions and conditions necessary forinference satisfied? Explain.b) Create a 95% confidence interval for the difference inthe proportions of senior men and women who havethis disease.c) Interpret your interval in this context.d) Does this confidence interval suggest that arthritis ismore likely to afflict women than men? Explain.

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Arthritis The Centers for Disease Control and Preven-
tion 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 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 confidence interval suggest that arthritis is
more likely to afflict women than men? Explain.
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