A researcher wants to know the probability of selecting a student athlete from a school population where 5% of students are athletes.If the researcher selects a sample of 120 students,is it appropriate to use the normal approximation of the binomial distribution to estimate this probability?
A) Yes, because the sample size is large.
B) Yes, because nq is greater than 10.
C) No, because np is greater than 10.
D) No, because np is less than 10.

Question

Quizplus · Accepted Answer

The normal approximation to the binomial distribution is appropriate when both np and nq are greater than 10. Here, np = 120 * 0.05 = 6, which is less than 10.

A Researcher Wants to Know the Probability of Selecting a Student