(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

Lennie Carroll

Answered question

2021-01-13

(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.

Answer & Explanation

Layton

Layton

Skilled2021-01-14Added 89 answers

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±za2p1pn

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