# Calculating the true proportion of a group given significance levels and sample size.

A U.S. Travel Data Center survey of 1500 adults found that 42% of respondents stated that they favor historical sites as vacations. Find the 99% confidence interval of the true proportion of adults who favor visiting historical sites as vacations.

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:42 pm ad1c9bdddfhttps://brainmass.com/statistics/hypothesis-testing/confidence-interval-true-proportion-6686

#### Solution Preview

Assume that the proportion of respondents X~N(a,1). We know the mean X'~N(a,1/1500). N(a,1) is the normal distribution with mean a and ...

#### Solution Summary

This solution finds the 99% confidence interval of the true proportion of adults who favor visiting historical sites as vacations.

$2.49