2. 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. Do you carpool to the school? b. Have you used illegal drugs within the last month? a. Your answer (circle one): YES NO Assume that all employees and students answer the survey, all use a fair coin, and all answer honestly. Out of 5000 responses, 1200 are marked "Yes." Suppose the program knows that 30% of the employees and students carpool drugs within the last month? Total Probability Formula is required. the school. What is the percentage of the employees and students who used illegal

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2. 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.
Do you carpool to the school?
b. Have you used illegal drugs within the last month?
a.
Your answer (circle one):
YES
NO
Assume that all employees and students answer the survey, all use a fair coin, and all answer honestly.
Out of 5000 responses, 1200 are marked "Yes." Suppose the program knows that 30% of the employees
and students carpool to the school. What is the percentage of the employees and students who used illegal
drugs within the last month? Total Probability Formula is required.
Transcribed Image Text:2. 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. Do you carpool to the school? b. Have you used illegal drugs within the last month? a. Your answer (circle one): YES NO Assume that all employees and students answer the survey, all use a fair coin, and all answer honestly. Out of 5000 responses, 1200 are marked "Yes." Suppose the program knows that 30% of the employees and students carpool to the school. What is the percentage of the employees and students who used illegal drugs within the last month? Total Probability Formula is required.
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