<p>1) In order to get truthful responses to potentially embarrassing questions, researchers often ask the question in conjunction with some other activity. Suppose that a large group of adults are interviewed to determine the proportion that cheated on their income tax. Each person is given a either a 3 or a 4 OR you have ever cheated on your income tax, answer BLUＥ，otherwise answer YELLOW."
(A) Suppose that 10% of the people answer YELLOW. What is the approximate proportion of the adults in this survey that have cheated on their income tax?</p>
<p>(B) Suppose that the result from part (A) came from a random sample of 45 adults. What is the 90% confidence interval fro the true proportion of adults who have cheated on their income tax?</p>