In 2013, the Pew Research Foundation reported that “45% of U.S. adults report 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. Provide and explanation to justify each of your answers. (a) We can say with certainty that the confidence interval contains the true percentage of U.S. adults who suffer from a chronic illness. (b) If we repeated this study 1,000 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 illness. (c) Since the standard error is 1.2%, only 1.2% of the people in the study communicated uncertainty about their answer.
In 2013, the Pew Research Foundation reported that “45% of U.S. adults report 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. Provide and explanation to justify each of your answers.
(a) We can say with certainty that the confidence interval contains the true percentage of U.S. adults who suffer from a chronic illness.
(b) If we repeated this study 1,000 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 illness.
(c) Since the standard error is 1.2%, only 1.2% of the people in the study communicated uncertainty about their answer.
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