Why is it necessary to check that np≥5 and nq≥5​? A. It is necessary to check that np≥5 and nq≥5 to be certain that the minimum value of the sample​ size, n, is met.B. It is necessary to check that np≥5 and nq≥5 ​because, if either of the values are less than​ 5, the distribution may not be normally​ distributed, thus zc cannot be used to calculate the confidence interval.C. It is necessary to check that np≥5 and nq≥5 because the confidence intervals estimating the population proportions will overlap if these values are less than 5.D. It is necessary to check that np≥5 and nq≥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.

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Asked Nov 25, 2019
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Why is it necessary to check that np≥5 and nq≥5​? 

A. It is necessary to check that np≥5 and nq≥5 to be certain that the minimum value of the sample​ size, n, is met.

B. It is necessary to check that np≥5 and nq≥5 ​because, if either of the values are less than​ 5, the distribution may not be normally​ distributed, thus zc cannot be used to calculate the confidence interval.

C. It is necessary to check that np≥5 and nq≥5 because the confidence intervals estimating the population proportions will overlap if these values are less than 5.

D. It is necessary to check that np≥5 and nq≥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.

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If these two conditions are satisfied, we can use the normal distribution. Otherwise...

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It is given that there are two conditions Condition 1;np 25 and Condition 2: na 2 5

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