Hint: the power of a one-tailed test at \(0.05\) level is the power of a two-tailed test at \(0.10\). If Ken told Alan to flip the coin only \(20\) times, what is the probability that Alan will not be...Hint: the power of a one-tailed test at \(0.05\) level is the power of a two-tailed test at \(0.10\). If Ken told Alan to flip the coin only \(20\) times, what is the probability that Alan will not be able to convince Ken (by failing to reject the null hypothesis at the \(0.05\) level)?