A friend has offered to play a gambling game with you that involves flipping a coin that he has provided. Since a flip of heads will be to his advantage, you want to test the coin for fairness before you begin to play. Your friend is willing to let you flip the coin 50 times to determine if the probability of getting heads is actually 0.50, as it should be if the coin is fair. A) Assume for the moment that the coin is fair . If ^p is the proportion of heads in 50 flips of the coin, what are the mean and the standard deviation of the sampling distribution of ^p?