Answer:
18.87%
Step-by-step explanation:
Let's say that adult that needs correction is A(83%) and adult that doesn't need correction is B(17%). There are two combinations of event that result at "at least 16 out of 17 adults chosen need correction" which is:
1. 17A
2. 16A + 1 B
The probability for 17A should be easy to determine, it is simply A^17.
You will need a pascal triangle for 16A + 1 B event combination, not only A^16*B^1. It's pretty easy to know the coefficient since its just 1 different case so it's 16+1= 17. The chance will be:
1A^17 + 17A^16*B^1=
0.04210 + 0.1466= 0.1887= 18.87%
If you use 5% as significant cutoff, then it's not significant because the probability of this occurring is not small.
