A 95% confidence interval for the proportion of American adults who believe that regular exercise is important was computed to be [0.726, 0.780]. Given this confidence interval, which of the following values are reasonable estimates for the proportion of all American adults who believe that regular exercise is important (i.e., the population proportion).

a. 0.730
b. 0.765
c. 0.770
d. 0.795

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Pointjazzyqueen438 Pointjazzyqueen438

01-03-2021
Mathematics

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A 95% confidence interval for the proportion of American adults who believe that regular exercise is important was computed to be [0.726, 0.780]. Given this confidence interval, which of the following values are reasonable estimates for the proportion of all American adults who believe that regular exercise is important (i.e., the population proportion).

a. 0.730
b. 0.765
c. 0.770
d. 0.795

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joaobezerra joaobezerra · Answer 1 · 2022-02-10T10:29:25+01:00

Using confidence interval concepts, it is found that the reasonable estimate for the proportion of all American adults who believe that regular exercise is important is of 0.753.

What is a confidence interval?

It is the range in which a parameter is expected to be given a confidence level, has format (a,b), and the point estimate of the parameter is the mean between a and b.

In this problem, the interval is [0.726, 0.780], hence, the estimate is of:

(0.726 + 0.78)/2 = 0.753

You can learn more about confidence interval concepts at https://brainly.com/question/25779324