The proportion of hospitals in Example A of Section 7.2

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QUESTION:

The proportion of hospitals in Example A of Section 7.2 that had fewer than 1000 discharges is p = .654. Suppose that the total number of hospitals having fewer than 1000 discharges is estimated from a simple random sample of size 25. Use the central limit theorem to sketch the approximate sampling distribution of the estimate.

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QUESTION:

The proportion of hospitals in Example A of Section 7.2 that had fewer than 1000 discharges is p = .654. Suppose that the total number of hospitals having fewer than 1000 discharges is estimated from a simple random sample of size 25. Use the central limit theorem to sketch the approximate sampling distribution of the estimate.

ANSWER:

Step 1 of 3

It is given that the proportion of hospitals that had fewer than 1000 discharges is and sample size 25.

The mean is calculated as:

The standard deviation is calculated as:

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