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A random sample of 50 observations from a binomial population was used to estimate the population parameter p as pˆ = 0.63.
(i) Construct a 95% con?dence interval for p.
(ii) If it is desired to obtain an estimate of p to within ±0.10 with 95% con?dence, what sample size would be required?
(iii) Extend the result in (ii) to the general case: determine an expression for the sample size required to estimate the population parameter p with pˆ, with the desired limits of the (1 - α) × 100% con?dence interval speci?ed as ±ξ.
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