Question 8.29

8.29 Mathematician tosses coin 10,000 times!

The South African mathematician John Kerrich, while a prisoner of war during World War II, tossed a coin 10,000 times and obtained 5067 heads.

  1. Is this significant evidence at the 5% level that the probability that Kerrich's coin comes up heads is not 0.5?
  2. Give a 95% confidence interval to see what probabilities of heads are roughly consistent with Kerrich's result.

8.29

(a) . The data do not provide evidence that the coin is biased. (b) (0.497, 0.516).