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Mathematics, 29.01.2021 16:30 caden8233

One method for estimating the availability of office space in large cities is to conduct arandom sample of offices, and calculate the proportion of offices currently being used. Suppose that realestate agents believe that p = 0.70 of all offices are currently occupied, and decide to take a sample toassess their belief. They are considering a sample size of n = 40.a) a. Show that this sample size is large enough to justify using the normal approximation to thesampling distribution of p.
b. What is the mean of the sampling distribution of p if the real estate agents are correct?
c. What is the standard deviation of the sampling distribution of p if the real estate agents arecorrect?
d. If the real estate agents are correct, what is the probability that a sample proportion, p, would differ from p = 0.70 by as much as 0.05?

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