This is Problem 5.57. While he was a prisoner of the Germans during
World War II, John Kerrich tossed a coin 10,000 times. He got 5067
heads. Take Kerrich's tosses to be an SRS from the population of
all possible tosses of this coin. If the coin is perfectly
balanced, p = 0.5. Is there reason to think that Kerrich's coin
gave too many heads to be balanced? To answer this question, find
the probability that a balanced coin would give 5067 or more heads
in 10,000 tosses. What do you conclude?