Answer
The conditions are satisfied so we can construct a CI for this question.
Work Step by Step
In order to construct a confidence interval, it is required that
i) $np(1-p) \geq 10$
ii) The sample size is no more than 5% of the population size $(n \leq 0.05N)$
Testing the conditions:
i) $np(1-p) \geq 10$
=3611 x 0.150 x 0.850
= 460.4025
Since 460.4025 > 10, condition 1 holds true
ii) In this question, the sample consists of adult Americans who are 18 and older. Since there are over 1,000,000 Americans who are 18 and older, we know our sample size is less than 5% of the population.
