Suppose that an ESP test is conducted by having someone guess whether each of n coin flips will result in heads or tails. The null hypothesis is that p = .5, and the alternative is that p > .5, where...

Suppose that an ESP test is conducted by having someone guess whether each of n coin flips will result in heads or tails. The null hypothesis is that p = .5, and the alternative is that p > .5, where p = probability of guessing correctly. Suppose one participant guesses n = 10 times and gets 6 right, while another guesses n = 100 times and gets 60 right. In each case, the percent correct was 60%. Do you think that the p-value would be lower in one case than in the other, or would it be the same? Explain.