Answer:
9604 American adults must be interviewed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
The margin of error is of:
95% confidence level
So , z is the value of Z that has a p-value of , so .
How many adults must be interviewed for the margin of error to be 0.01?
This is n, which is found for M = 0.01.
We have no estimate for the proportion, so we use , which is when the largest sample size will be needed.
9604 American adults must be interviewed.