Let have one of the following distributions:
X H_0 H_A
x_1 0.2 0.1
x_2 0.3 0.4
x_3 0.3 0.1
x_4 0.2 0.4
a) Compare the likelihood ratio for each possible value .
b) What is the likelihood ratio test of the null hypothesis vs the alternative hypothesis at the level and ?