Basic Computation:hat{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 hat{p} distribution by a normal distribution? Why or why not?

Chardonnay Felix

Chardonnay Felix

Answered question

2021-02-25

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?

Answer & Explanation

Benedict

Benedict

Skilled2021-02-26Added 108 answers

We have binomial experiment with n=25 and p=0.15
np=25(0.15)
np=3.75
nq=25(10.15)
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.

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