Question

It is felt that respondents are more likely to be honest when a randomized response survey is used. Subsequently, a substance-abuse prevention program at a university has designed and distributed the following questionnaire to all the employees and students: Flip a coin. If the coin comes up heads, answer Question a; if tails, answer Question b. All answers are anonymous. a. Do you carpool to the school

Answer 1

hello your question is incomplete below is the complete question

answer : 18%

Explanation:

x = percentage using illicit drugs

sample size = 5000

number of persons with a yes = 1200

also management knows that 30% uses carpool

∴P ( yes ) = P( H and yes to carpool ) + P( T and yes to illicit drug use )

1200 / 5000 = (0.5 * 0.3 ) + ( 0.5 * x )

0.24 = 0.15 + 0.5 x

hence x ( percentage using illicit drug ) = ( 0.24 - 0.15) / 0.5 = 0.18 = 18%