Attempted it twice and came up with two different answers - second guessing myself! 264 2. 385 Need to see the steps to figure out where went wrong...

Attempted it twice and came up with two different answers - second guessing myself!!!

1. 264

2. 385

Need to see the steps to figure out where went wrong with both or with one.

Thanks

A publishing company is considering a new travel magazine and wants to know what percent of the population might be interested in the magazine. Secondary data indicates that 22% of the population travels quite frequently. The company is willing to accept an error rate of 5% and want to be 95% certain that their finding does not differ from the true rate by more than 5%. What is the required sample size?