Decide whether the normal sampling distribution can be used. If it can used , test the claim about the population proportion p at the given level of significance α using the given sample statistics.
Claim: p < 0.16; α = 0.01; Sample statistics: 
= 0.14, n = 22
Solution
To use the normal sampling distribution, both np and np must greater than or equal to 5.
Being by calculation np. The claim p< 0.16 implies the hypothesized proportion p = 0.16.
np = 22(0.16)
= 3.52
Next calculate np. First determine the valve of q.
q = 1 –p
= 1 – 0.16
=0.84
Use the value of q to find nq.
nq = 22(0.84)
= 18.48
Since np is less than 5, the normal sampling distribution cannot be used.
Since the normal sampling distribution cannot be used, the test cannot be performed.