It was reported that in a survey of 4766 American youngsters aged 6 to 19, 15% were seriously overweight (a body mass index of at least 30; this index is a measure of weight relative to height). Calculate a confidence interval using a 99% confidence level for the proportion of all American youngsters who are seriously overweight. (Round your answers to three decimal places.) Interpret the resulting interval. O We are 99% confident that the true proportion of American youngsters who are seriously overweight is within this interval. O We are 99% confident that the true proportion of American youngsters who are seriously overweight is above this interval. O We are 99% confident that the true proportion of American youngsters who are seriously overweight is below this interval. O We are 99% confident that the true proportion of American youngsters who are seriously overweight is outside this interval.

MATLAB: An Introduction with Applications
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In a survey involving 4,766 American youngsters aged 6 to 19, it was found that 15% were seriously overweight (indicated by a body mass index of at least 30, which is a measure of weight relative to height). The task is to calculate a confidence interval with a 99% confidence level for the proportion of all American youngsters who are seriously overweight. The answers should be rounded to three decimal places.

\[ (\text{____} , \text{____}) \]

**Interpret the resulting interval:**
- We are 99% confident that the true proportion of American youngsters who are seriously overweight is within this interval.
- We are 99% confident that the true proportion of American youngsters who are seriously overweight is above this interval.
- We are 99% confident that the true proportion of American youngsters who are seriously overweight is below this interval.
- We are 99% confident that the true proportion of American youngsters who are seriously overweight is outside this interval.
Transcribed Image Text:In a survey involving 4,766 American youngsters aged 6 to 19, it was found that 15% were seriously overweight (indicated by a body mass index of at least 30, which is a measure of weight relative to height). The task is to calculate a confidence interval with a 99% confidence level for the proportion of all American youngsters who are seriously overweight. The answers should be rounded to three decimal places. \[ (\text{____} , \text{____}) \] **Interpret the resulting interval:** - We are 99% confident that the true proportion of American youngsters who are seriously overweight is within this interval. - We are 99% confident that the true proportion of American youngsters who are seriously overweight is above this interval. - We are 99% confident that the true proportion of American youngsters who are seriously overweight is below this interval. - We are 99% confident that the true proportion of American youngsters who are seriously overweight is outside this interval.
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