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A study conducted by the National Center of Health Statistics collects data on Vitamin D levels. In 2011-2014, in a sample of 3,929 non-Hispanic Blacks showed that 17.5% were Vitamin D deficient. A 95% confidence interval based on the sample is (0.152, 0.200).
-In January 2015 Gallup reported the results from a survey of 167,000 U.S. adults from January - June 2014 for the Gallup-Healthways Well-Being Index. Based on self-reported height and weight data, they found that 62.8% of U.S. adults are overweight or obese. A 95% confidence interval for the proportion of U.S. adults that are overweight or obese is (0.626, 0.63). Does this interval support the claim that "two-thirds of Americans are overweight or obese"?

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Quizplus · Accepted Answer

No, this claim is not supported by the confidence interval. The interval suggests that percentages between 62.6% and 63% are plausible for the percentage of adults who are overweight or obese. Two-thirds (~66.7%) is not included in this interval, thus it is not a plausible value for the parameter.

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