SOLUTION: A U.S. Travel Data Center’s survey of 1500 randomly selected adults found that 42% of respondents stated that they favor historical sites as vacations. Find the 95% confidence in

Question 1161899: A U.S. Travel Data Center’s survey of 1500 randomly selected adults found that 42% of respondents stated that they favor historical sites as vacations. Find the 95% confidence interval of the true proportion of all adults who favor visiting historical sites for vacations
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
95% CI half-interval is z*sqrt(p*(1-p)/n) where z=1.96 and p=0.42
so the half-interval is 1.96 *sqrt(.42.*58/1500)
=0.025
the CI is p hat+/- half-interval or (0.395, 0.445)
Go to STAT TESTS A ENTER and put in 630 1500 and 0.95 for CI and ENTER. The 630 comes from 1500*0.42, the number of people who stated they favored.
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