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Inference for Proportions

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Presentation on theme: "Inference for Proportions"— Presentation transcript:

1 Inference for Proportions
Chapter 12

2 Inference for a Population Proportion
Section 12.1

3 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

4 standard error-replace p with p hat Confidence interval
z statistic standard error-replace p with p hat Confidence interval estimate ± z* SEestimate

5 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

6 Formulas for z procedures
Formula for samples size for desired margin of error p.695

7 Practice Problems pg. 698 # , 12.21


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