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8.3 Estimation Proportion

# 8.3 Estimation Proportion - Outcome 8.3 Know how to...

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Interval Estimation INTERVAL ESTIMATION BUQU 1230 Esther Tiessen Outcome 8.3— Know how to construct and interpret an interval estimate of a population proportion.

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Interval Estimation Interval Estimation ü Population Mean: σ Known ü Population Mean: σ Unknown Population Proportion
Interval Estimation Population Proportion Recall : Sampling Distribution of can be approximated by a normal distribution whenever and expected value of : standard error of the proportion: np 5 n 1 - p ( 29 5 p σ p = p 1 - p ( 29 n p E p (29 = p

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Interval Estimation Population Proportion Recall : Sampling Distribution of can be approximated by a normal distribution whenever and expected value of : standard error of the proportion: np 5 n 1 - p ( 29 5 p σ p = p 1 - p ( 29 n p E p (29 = p A random sample of 270 homes was taken from a large population of older homes to estimate the proportion of homes with unsafe wiring. If, in fact, 20% of the homes have unsafe wiring, what is the probability that the sample proportion will be between 16% and 24% of homes with unsafe wiring?
Interval Estimation Population Proportion Recall : Sampling Distribution of can be approximated by a normal distribution whenever and expected value of : standard error of the proportion: If population proportion not known, sampling distribution of population proportion can be used to determine interval estimate of a population proportion np 5 n 1 - p ( 29 5 p σ p = p 1 - p ( 29 n p E p (29 = p

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Interval Estimation Population Proportion Interval Estimate of a Population Proportion is the sample proportion (point estimate for population proportion) α is the level of significance (1–α) is the confidence coefficient z α/2 is the z value providing an area of α/2 in the upper tail of the standard normal probability distribution n is the sample size is the standard error of the proportion is the margin of error p ± margin of error p ± z α 2 p 1 - p ( 29 n p z α 2 p 1 - p ( 29 n ( 29 n p p - 1
Interval Estimation Population Proportion Interval Estimate of a Population Proportion is the sample proportion (point estimate for population proportion) α is the level of significance (1–α) is the confidence coefficient z α/2 is the z value providing an area of α/2 in the upper tail of the standard normal probability distribution n is the sample size is the standard error of the proportion is the margin of error p ± margin of error p ± z α 2 p 1 - p ( 29 n p z α 2 p 1 - p ( 29 n ( 29 n p p - 1 KEY IDEA : Interval estimate is the point estimate ± value from probability distribution multiplied by standard error— this is a reoccurring formula.

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Interval Estimation Population Proportion Interval Estimate of a Population Proportion is the sample proportion (point estimate for population proportion) α is the level of significance (1–α) is the confidence coefficient z α/2 is the z value providing an area of α/2 in the upper tail of
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