Basic Computation:p^ Distribution Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (b) Suppose n=25 and p=0.15. Can we safely approximate the p^ distribution by a normal distribution? Why or why not?

Question

Basic Computation:p^ Distribution Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.  (b) Suppose n=25 and p=0.15. Can we safely approximate the p^ distribution by a normal distribution? Why or why not?

Benedict · Accepted Answer

We have binomial experiment with n=25 and p=0.15  np=25(0.15)  np=3.75  nq=25(1−0.15)  nq=21.25  Since both the values np and nq are not greater than 5, hence, we cannot approximate the p^ distribution by a normal distribution.