In Eq. (8-23) the standard normal variable z is used instead of
t even though
the proportion of the sample is used. Explain the reason.
а Approximate Confidence Interval on a Binomial Proportion If p is the proportion of observations in a random sample of size n that belongs to a class of interest, an approximate 100(1 – a)% confidence interval on the proportion p of the population that belongs to this class is p(1-0) p(1-0) sps ſ + Z0./2 (8-23) h - 2012 n n where Za/2 is the upper a/2 percentage point of the standard normal distribution.
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