I cannot work the following problem and I am hoping someone can help me.

A real estate salesperson wants to prove that 65% of all home-owners change
their house in less than 6 years.  This salesperson wants to have a 90%
probability of success if the true percentage is 60%.  If the hypothesis
test is carried out at a 5% level of significance, what should be the
minimum sample size in a survey conducted to prove this claim?

According to the book's key, the answer is 798. I believe this to be a
power question but I'm not sure how to get started. I appreciate any help.

Ronny
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