In a survey, a random sample of teenagers were asked whether they have a sibling. The resulting confidence interval for the proportion of teenagers who have a sibling is (0.61,0.91). What is the sample proportion, p^?

And using the property of  symmetry for the confidence interval we can estimate the sample proportion with this formula:

The final answer for this case would be:

So approximately 15% of teenagers have a sibling.

Step-by-step explanation:

For this case we assume that the proportion of interest is who represent the number of teenagers who have a sibling and in order to estimate this proportion we can conduct a confidence interval.

The confidence interval for the mean is given by the following formula:  

And for this case the confidence interval is given by:

And using the property of  symmetry for the confidence interval we can estimate the sample proportion with this formula:

The final answer for this case would be:

So approximately 15% of teenagers have a sibling.

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation: