Data Collectionhard
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A survey uses the randomized response technique to elicit truthful answers on a sensitive topic: "Have you ever cheated on your taxes in the past 5 years?"
Protocol:
- Each respondent flips a coin in private
- Heads (50%): Answer the question truthfully
- Tails (50%): Answer "No" regardless of truthfulness
Among 600 respondents, 180 answer "No".
What is the estimated true proportion of tax cheaters?
A survey uses the randomized response technique to elicit truthful answers on a sensitive topic: "Have you ever cheated on your taxes in the past 5 years?"
Protocol:
- Each respondent flips a coin in private
- Heads (50%): Answer the question truthfully
- Tails (50%): Answer "No" regardless of truthfulness
Among 600 respondents, 180 answer "No".
What is the estimated true proportion of tax cheaters?