Your answer is partially correct. Consider the hypothesis test Ho : #1 = /2 against H1: # #2. Suppose that sample sizes are m = 15 and ny = 15, that 31 = 4.7 and X2 = 7.8 and that s? = 4 and s, = 6.26. Assume that or = of and that the data are drawn from normal distributions. Use a = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain / = 0.05 if the true difference in means is - 2? Assume that ar = 0.05. (a) The null hypothesis is rejected. The P-value is i Round your answer to four decimal places (e.g. 98.7654). (b) The power is i Round your answer to two decimal places (e.g. 98.76). (0)m = n)= i Round your answer to the nearest integer