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Sample Proportions Section 9.2.

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1 Sample Proportions Section 9.2

2 p hat = X/n p hat = p p hat = [(p(1 – p)/n]
If the population is much larger than the sample, the count X will follow a binomial distribution p hat = p p hat = [(p(1 – p)/n]

3 p hat is an unbiased estimator of p
The standard deviation gets smaller as n increases

4 Rule of Thumb 1 Use the recipe for the standard deviation of p hat only when the population is at least 10 times as large as the sample

5 Rule of Thumb 2 Use the normal approximation to the sampling distribution of p hat for values of n and p that satisfy np  10 and n(1 – p)  10

6 Practice Problems pg. 513 #


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