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.