In a study on discrimination in Amsterdam, the subjects are asked whether they have experienced discrimination (based on race, skin color, gender, or religion). A stratied sample is taken: 50 men and 50 women are chosen randomly from the adult population of Amsterdam. Let X be the number of men and Y the number of women in the sample that have experienced discrimination. Dene: PM = proportion of male Amsterdammers having experienced discrimination pv = proportion of female Amsterdammers having experienced discrimination p = proportion of Amsterdammers having experienced discrimination Assume Pv = 2 pM and that there are as many men as women living in Amsterdam. (i) Compute the mean square error of the estimator (X + Y) / 100 for p. Now, dene Z as the number of persons having experienced discrimination in a normal (nonstratied 2 simple) sample of 100 adult Amsterdammers. (ii) Compute the mean square error of the estimator Z / 100 for p. (iii) Compare the two mean square errors. What do you conclude