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.

ankarskogC 2021-02-16 Answered

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=20 and p=0.23. Can we safely approximate the p^ distribution by a normal distribution? Why or why not?

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Expert Answer

Jayden-James Duffy
Answered 2021-02-17 Author has 91 answers
We have binomial experiment with n=20 and p=0.23
np=20(0.23)
np=4.6
nq=20(10.23)
nq=15.4
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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