A professor wants to estimate the proportion of dog owners in a city who have had their dogs vaccinated against rabies. Since quite often dog owner does not give correct information about the answer if the answer can be identified, she asks them to answer the following two questions according to a flip of a fair coin: H: Have your dog been vaccinated against rabies? T: The last digit of your social security number is an odd number. Should the professor ask the dog owners to fill out their names if the purpose of the survey is to simulate a situation that random response is needed