Let X have a Binomial distribution with the number of trials n = 15 and with probability of “success” p. We wish to test H_0 : p = 0.30 vs. H_1 : p ≠ 0.30.


Likelihood Ratio Test: Reject H_0 if lambda(x)≤c.
Let c=0.15. Find the significance level and the power when p=0.20.


I know that the Likelihood Ratio test is lambda(x)= (((-3(x-15))/(7*15))^x)*((-7*15)/(10(x-15)))^15 but I don't know where to go from there. Any help would be appreciated.