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What if surveys were given to all visitors (as many as we could) on three days...

What if surveys were given to all visitors (as many as we could) on three days of the week, including one weekday asking if they would zip-line if it were available. The owner thinks that at least 40% would like to do that. If at least 40% say yes, then the resort will likely be profitable, the owner believes. In asking 1000 tourists over those three days, 320 indicated such an interest. If we assume a standard deviation of 75 tourists, can the owner's claim be supported at a 0.05 level of significance? (note: the mean under the null would be 400 while the sample mean would be 320.)

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