In a survey to determine the fraction p of supporters of a certain measure in a large population, we take a sample of size n. Suppose we know that 25% of the respondents will lie, and say exactly the opposite of what they think. It is a large populations, so we can assume that responses are i.i.d. r.v.’s Xi, each with the probability of positive answer which is the appropriate function of p. (I) Suppose k out of n respond that they support the measure, and find a method of moments estimator for the fraction p of supporters. (II) Is the estimator found in Part I unbiased?