So, is there a method to find the respective proportion of people without putting them on the spot? Actually, there is! If you want to learn about randomized response (and how to create flowcharts in R along the way) read on!
The question is how can you get a truthful result overall without being able to attribute a certain answer to any single individual. As it turns out, there is a very elegant and ingenious method, called randomized response. The big idea is to, as the name suggests, add noise to every answer without compromising the overall proportion too much, i.e. add noise to every answer so that it cancels out overall!
Click through for the process. It’s definitely a clever idea.