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9.2 Sample Proportions (pp.472-479) In an SRS of size n, what is true about the sampling distribution of p when the sample size n increases? 1. As n, the sample size, increase the sampling distribution of p becomes more normal. In an SRS of size n, what is the mean of the sampling distribution of p ? 2. The mean of the sampling distribution of p is the population mean. OR p=p In an SRS of size n, what is the standard deviation of the sampling distribution of p ? 3. The standard deviation of the sampling distribution is: p p(1 p) n What happens to the standard deviation of p as the sample size n increases? 4. As n, sampling size, increases the standard deviation of p decreases. 5. When does the formula p(1 p) apply to the standard deviation of n p ? Page 583 Rule of thumb #1 Only when the population is at least 10 times larger than the sample size. N ≥ 10n 6. When the sample size n is large, the sampling distribution of p is approximately normal. What test can you use to determine if the sample is large enough to assume that the sampling distribution is approximately normal? Page 583 Rule of thumb #2 np ≥ 10 and n(1-p) ≥ 10 Both of these must be true. Chapter 9: Sampling Distributions