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Inference for Proportions
Chapter 12
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Inference for a Population Proportion
Section 12.1
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Sample Proportion p hat mean = p standard deviation (p(1 – p)/n)
# of successes/# of observations mean = p standard deviation (p(1 – p)/n) If np and n(1 – p) 10, p hat is approximately normal
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standard error-replace p with p hat Confidence interval
z statistic standard error-replace p with p hat Confidence interval estimate ± z* SEestimate
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Conditions for Inference About a Proportion
Data are an SRS from population on interest Population at least 10 times as large as sample For test H0: p = p0 sample size n so large that both np0 and n(1 – p0) are 10 or more
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Formulas for z procedures
Formula for samples size for desired margin of error p.695
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Practice Problems pg. 698 # , 12.21
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