Confidence Interval for the proportion p
distpic_z.gifWhen n·q and n·p are both greater than 5, the binomial distribution is approximated by the standard normal distribution (z distribution).
Critical value of z for confidence intervalsTo find the critical value of z for confidence intervals, compute α ÷ 2 and look up the associated value of z in the standard normal distribution (Table A-2). The critical value for confidence intervals is always positive.
Sample proportion
p-hat equals x divided by n
q-hat equals 1 subtract p-hat
Margin of Error
cie1pz.gif
Confidence Interval
Confidence Interval for a Proportion
Formulas for computing the sample statistics for estimating a proportion, rate or percent of a population.
Remember to look in the body of Table A-2 to find the area, α ÷ 2