Confidence Intervals for the Population Proportion (VCE SSCE Mathematical Methods): Flashcards

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Confidence Intervals for the Population Proportion
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Point estimate

Single value used to estimate unknown population parameter

p^\hat{p} estimates

Population proportion pp

Confidence interval for pp

Interval estimate for population proportion

Normal approximation requirement for CI

Both npnp and n(1p)n(1-p) must be greater than 5

kk value for 95% confidence interval

k=1.9600k = 1.9600

Correct interpretation of 95% CI

95% of such intervals will contain true pp

Margin of error (MM)

Distance from p^\hat{p} to interval endpoints

Effect of larger sample size on margin of error

Smaller margin of error

Effect of higher confidence level on interval

Wider interval required

Population proportion pp

Fixed but unknown constant we're estimating

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