2. Bon Matcha serves two soft serve ice cream flavors: matcha and a seasonal flavor which varies by month (currently misugaru). Out of a sample of 81 customers, 64 purchased the matcha flavor. Assume the underlying customer flavor selection distribution is normal. a. Set up the null and alternative hypotheses to test ifthe proportion of Bon Matcha customers purchasing their matcha flavor is greater than 50%. b. Calculate the appropriate test statistic under the assumption that the null is true. What is the test statistic's p-value? c. Given a 10% significance level, what is the critical value for the test? d. What is your conclusion? Suppose the true proportion of matcha flavor customers was 75%. If so, what is the power of the test