Nutrition Labels Of 1019 U.S. adults responding to a 2017 Harris poll, 47 % said they always or often read nutrition labels when grocery shopping. a. Construct a 95 % confidence interval for the population proportion of U.S. adults who always or often read nutrition labels when grocery shopping. b. What is the width of the 95 % confidence interval? c. Name a confidence level that would produce an interval wider than the 95 % confidence interval. Explain why you think this interval would be wider than a 95 % confidence interval. d. Construct the interval using the confidence level you proposed in part c and find the width of the interval. Is this interval wider than the 95 % confidence interval?
Nutrition Labels Of 1019 U.S. adults responding to a 2017 Harris poll, 47 % said they always or often read nutrition labels when grocery shopping. a. Construct a 95 % confidence interval for the population proportion of U.S. adults who always or often read nutrition labels when grocery shopping. b. What is the width of the 95 % confidence interval? c. Name a confidence level that would produce an interval wider than the 95 % confidence interval. Explain why you think this interval would be wider than a 95 % confidence interval. d. Construct the interval using the confidence level you proposed in part c and find the width of the interval. Is this interval wider than the 95 % confidence interval?
Solution Summary: The author calculates the confidence interval for the true proportion of U.S adults who always or often read nutrition labels during grocery shopping using Minitab.
Nutrition Labels Of 1019 U.S. adults responding to a 2017 Harris poll,
47
%
said they always or often read nutrition labels when grocery shopping.
a. Construct a
95
%
confidence interval for the population proportion of U.S. adults who always or often read nutrition labels when grocery shopping.
b. What is the width of the
95
%
confidence interval?
c. Name a confidence level that would produce an interval wider than the
95
%
confidence interval. Explain why you think this interval would be wider than a
95
%
confidence interval.
d. Construct the interval using the confidence level you proposed in part c and find the width of the interval. Is this interval wider than the
95
%
confidence interval?
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.
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