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in 2013, the pew research foundation reported that \"45% of U.S. adults report t

ID: 2924208 • Letter: I

Question

in 2013, the pew research foundation reported that "45% of U.S. adults report that they live with one or more chronic conditions", and the standard error for this estimate is 1.2%. identify each of the following statements as true or false.

(a) T/F if we repeated this study 1000 times and constructed a 95% confidence interval for each study, then approximately 950 of those confidence intervals would contain the true fraction of U.S. adults who suffer from chronic illnesses.

(b) T/F since the staendard error is 1.2%, only 1.2% of people in the study communicated uncertainty about their answer.

Explanation / Answer

a) The confidence level is the frequency of possible confidence intervals that contain the true value of the parameter.

The proportion will match the confidence level, if the study is repeated for infinite times.

Answer: True

b)Answer: False. Standard error is the standard deviation of the sampling distribution.