Consider the hypothesis test against with known variances and Suppose that sample sizes and and that and Use (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 if the true difference in means is 3? Assume that (a) The null hypothesis Choose your answer; The null hypothesis _ rejected rejected. The P-value is Enter your answer; The P-value is .36194 . Round your answer to three decimal places (e. g. 98.765). (b) The power is Enter your answer in accordance to the item b) of the question statement .14 . Round your answer to two decimal places (e. g. 98.76). (c) Enter your answer in accordance to the item c) of the question statement 180 . Round your answer up to the nearest integer.