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.

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 $\stackrel{^}{p}$ distribution by a normal distribution? Why or why not?

You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Jayden-James Duffy
We have binomial experiment with $n=20$ and $p=0.23$
$np=20\left(0.23\right)$
$np=4.6$
$nq=20\left(1—0.23\right)$
$nq=15.4$
Since both the values np and nq are not greater than 5, hence, we cannot approximate the $\stackrel{^}{p}$ distribution by a normal distribution.
Not exactly what you’re looking for?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee