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S9.3 - Confidence Intervals for a Population Proportion
Confidence Intervals for a Population Proportion
8
Mathematics
Graduate
11/08/2013
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Term
Point estimate
 Definition
Unbiased estimator of the parameter
Term
Point estimate for the population proportion, phat =
 Definition
x/n
Term
mewphat =
 Definition
p
Term
sigmaphat =
 Definition
[p(1-p)/n]^0.5
provided np(1-p) >= 10
Term
Lower bound CI =
 Definition
phat - z(alpha/2) x [phat(1-phat)/n]^0.5
Term
Upper bound CI =
 Definition
phat + z(alpha/2) x [phat(1-phat)/n]^0.5
Term
Margin of error, E =
 Definition
z(alpha/2) x [sigma/(n^0.5)]
Term
n =
 Definition
phat(1-phat)x[z(alpha/2)/E]^2
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