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StatisticsQ&A LibraryWhy 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.Question

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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