Question

Based on a survey of 4751 American youngsters aged 6 to 19, where 12% were seriously overweight (BMI of at least 30), a confidence interval was calculated using a 99% confidence level. Interpret the resulting confidence interval-

A) We are 99% confident that the true proportion of American youngsters who are seriously overweight is below this interval.
B) We are 99% confident that the true proportion of American youngsters who are seriously overweight is within this interval.
C) We are 99% confident that the true proportion of American youngsters who are seriously overweight is above this interval.
D) We are 99% confident that the true proportion of American youngsters who are seriously overweight is outside this interval.

Answer 1

We are 99% confident that the true proportion of American youngsters who are seriously overweight is within the calculated confidence interval.

Step-by-step explanation:

Based on a survey of 4751 American youngsters aged 6 to 19, where 12% were seriously overweight (BMI of at least 30), a confidence interval was calculated using a 99% confidence level. The resulting confidence interval indicates that we are 99% confident that the true proportion of American youngsters who are seriously overweight is within this interval. This means that the actual proportion of seriously overweight American youngsters could be anywhere within the interval.