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Sample Proportions Section 9.2
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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]
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p hat is an unbiased estimator of p
The standard deviation gets smaller as n increases
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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
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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
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Practice Problems pg. 513 #
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