 # (b) Give a brief outline describing how the normal approximation to the binomial distribution is used in the construction of confidence intervals for a proportion p. Lennie Carroll 2021-01-13 Answered
(b) Give a brief outline describing how the normal approximation to the binomial distribution is used in the construction of confidence intervals for a proportion p.
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The normal curve is a good approximation to the binomial distribution, but it requires the condition that np and nq should be greater than 5. Only when the condition for normal approximation to the binomial distribution is satisfied, the confidence interval for proportion p using a normal distribution can be found.
The confidence interval for proportion pis as follows:
$CI=p±\frac{{z}_{a}}{2}\ast \sqrt{p}\frac{1-p}{n}$