While imprisoned by the Germans during World War II, the English mathematician John Kerrich tossed a coin 10,000 times and obtained 5,067 heads, resulting in an experimental probability ofp = 50.67% that the coin would land heads-up on a single toss. Let p be the true probability of heads on a single toss. We wish to check if Kerrich's data are consistent with the hypothesis that the coin is fair (ie., p = 0.50) a. Set-up the null and alternative hypotheses. H. XR
b. Calculate the test statistic, zo
c. Calculate the P-value.