In a simple random sample of 1200 Americans age 20 and over, the proportion with diabetes was

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In a simple random sample of 1200 Americans age 20 and over, the proportion with diabetes was found to be 0.115 (or 11.5%).

a. What is the standard error for the estimate of the proportion of all Americans age 20 and over with diabetes?

b. Find the margin of error, using a 95% confidence level, for estimating this proportion.

c. Report the 95% confidence interval for the proportion of all Americans age 20 and over with diabetes.

d. According to the Centers for Disease Control and Prevention, nationally, 10.7% of all Americans age 20 or over have diabetes. Does the confidence interval you found in part c support or refute this claim? Explain.

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