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A hotel manager calculates that 18%of the hotel rooms are booked. If the manager is right,...

A hotel manager calculates that 18%of the hotel rooms are booked.

If the manager is right, what is the probability that the proportion of rooms booked in a sample of 516 rooms would differ from the population proportion by less than 4%? Round your answer to four decimal places.

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Answer #1

P(Differs from population proportion by less than 4%)

= P(-2.365 < z < 2.365)

= 0.9820

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