Diabetes 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.
Diabetes 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.
Solution Summary: The author calculates the standard error for the estimate of the proportion of all Americans aged 20 and above with diabetes.
Diabetes 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.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
Elementary Statistics: Picturing the World (7th Edition)
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