The South African mathematician John Kerrich, while a prisoner of war during World War II, tossed a coin10,000 times and obtained 5067 heads.(2pts)a) Is this significant evidence at the 5% level that the probability that Kerrich’scoin comes up heads is not 0.5?Remember to specifythe null and alternative hypotheses, the test statistic, and the P-value. b) Give a 95% confidence interval to see what probabilities of heads are roughlyconsistent with Kerrich’s result.