Problem #3. Do Americans prefer a name-brand milk or store brand milk? A survey was conducted by Harris Poll Interactive, Inc. in November 2014. Suppose the results, based on 1,138 females and 1,138 males, were as follows: (6 points) 1 GENDER PREFERENCE> < NAME-BRAND MILK MALEX FEMALE TOTAL 319x 341x 660x STORE-BRAND MILK 717x 649x 1,3668 SOMETHING ELSE TOTAL 102x 148x 250x 1,138 1,138x 2,276 a. Given that an American is a male, what is the probability that he prefers name-brand milk? (2 pts) b. Is preference independent of gender? Perform the test of independence. (4 pts)