Problem
(Getting the answer without being sure you have asked the question) This is the randomized response technique due to Stanley L. Warner's paper in Journal of the American Statistical Association, Vol. 60 (1965), pp. 63-69. You want to know the proportion of college students who have used drugs. A direct question will not give frank answers. Instead, you give the students a box containing 4 blue, 3 red, and 4 white balls. Each student is asked to draw a ball (you do not see the ball) and abide by the following instructions, based on the color of the ball drawn:
Blue: Answer the question: "Have you used drugs?"
Red: Answer "yes."
White: Answer "no."
If 40% of the students answered "yes," what is the percentage of students who have used drugs?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.