Why is it necessary to check that np greaterthanorequalto 5 and nq greaterthanor

Question

Why is it necessary to check that np greaterthanorequalto 5 and nq greaterthanorequalto 5? It is necessary to check that np greaterthanorequalto 5 and nq greaterthanorequalto 5 because the confidence intervals estimating the population proportions will overlap if these values are less than 5. It is necessary to check that np greaterthanorequalto 5 and nq greaterthanorequalto 5 because, if either of the values are less than 5, the distribution may not be normally distributed, thus cannot be used to calculate the confidence interval. It is necessary to check that np greaterthanorequalto 5 and nq greaterthanorequalto to be certain that the minimum value of the sample size, n, is met. it is necessary to check that np greaterthanorequalto 5 and nq greaterthanorequalto 5 because, if either of the values are less than 5, the tails on either side of the left and right endpoints are not accounted for.

Explanation / Answer

This condition is necessary to check whether the normal approxiamtion is appropriate for given binomial distribution. It is appropriate only if np and n(1-p) both are greater than equal to 5.

Option B is correct.

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