Consider the test of the null hypothesis H0: p ¼ 0.5, against H1: p > 0.5, where p denotes the probability of success in 18 independent trials of a Bernoulli process. Assume the decision is to reject...

Consider the test of the null hypothesis H0: p ¼ 0.5, against H1: p > 0.5, where p denotes the probability of success in 18 independent trials of a Bernoulli process. Assume the decision is to reject the null hypothesis, if the discrete random variable Y, denoting the number of successes in 18 trials, is equal to or larger than 13. Calculate the power of the test, given by [1β( p)], for different values of p > 0.5, and make a plot of [1β( p)] against p.