If p = 4/5, what is the smallest value of n that satisfies the requirements for a normally distributed p?

n = 50

Step-by-step explanation:

The rules for determining if a sample proportion is normally distributed are:

1. np >= 10

2. n(1-p)>=10

If both of these conditions are met then the sample is normally distributed.

We are given p = 4/5 or 0.80.

So, n(0.80)>=10

Step 1. We must determine what the lowest value n can be to make this statement true.

Using the guess and check method we find 13(0.80)>=10

Step 2. We must determine what the lowest value n can be to make this statement true. n(1 - 0.80)>=10.

Using the guess and check method we find 50(1-0.80)>=10

Thus the lowest value n can be that meets both requirements is 50.