5.78 Is this coin balanced?

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 his coin. If the coin is perfectly balanced, . 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?