Calculate the sample size needed given these factors:
one-tailed t-test with two independent groups of equal size
small effect size (see Piasta, S.B., & Justice, L.M., 2010)
alpha =.05
beta = .2
Assume that the result is a sample size beyond what you can obtain. Use the compromise function to compute alpha and beta for a sample half the size. Indicate the resulting alpha and beta. Present an argument that your study is worth doing with the smaller sample.