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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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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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