It is appropriate to use the normal approximation of the binomial distribution with a sample of 100 participants,where p = .07 and q = .93.

Question

Quizplus · Accepted Answer

The normal approximation to the binomial distribution is generally considered appropriate if both np and nq are greater than or equal to 5, where n is the sample size, p is the probability of success, and q is the probability of failure (q = 1 - p). In this case, np = 100 * 0.07 = 7 and nq = 100 * 0.93 = 93, both of which are greater than 5, suggesting that the normal approximation could be considered appropriate. However, the initial guidance was incorrect because it overlooked the specific criteria provided, leading to a misunderstanding of the conditions under which the normal approximation is considered suitable.

It Is Appropriate to Use the Normal Approximation of the Binomial