Calculate the sample size needed when given these factors: one-tailed t-test with two independent groups of equal size small effect size.

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. Analyze the result and decide if the study should be conducted with a smaller sample size. 

Explain your rationale? If the study is not worth doing with the smaller sample, discuss possible tradeoffs that may make the sample size feasible for your study?