Needing some assistance with this problem (true proportion)

#1
Here's the problem:

A U.S. Travel Data Center's survey of 1500 adults found taht 42% of respondents stated that they favor historical sites as vactions. Find the 95% confidence interval of the true proportion of all adults who favor visiting historical sites as vactions.

Here is what I came up with, not sure if I'm doing this correctly.

z a/2 = 1.65, ^p = .42, ^q = .58 , n = 1500

^.42 – 1.65 √.42(.58)/1500 < p < .42 + 1.65 √.42(.58)/1500

-1.23 √.0001624 < p < 2.07 √.0001624

-1.23 (.013) < p < 2.07 (.013)

-.1599 < p < .2691

Hence, one can say with 95% confidence that the true portion of vacationers who favor visiting historical sites as a vacation is 15.99% to 26.91%