This document asks two questions about conducting likelihood ratio tests on binomial distributions to test hypotheses about a probability parameter p. The first question involves a two-tailed test at the 10% significance level to find the likelihood ratio test statistic. The second is a one-tailed test of p being greater or less than the null value p0. The solution requests showing all work and explanations and asks to be rated highly if no one answers.

1. A.) Y~B(n,p) For testing H_O: p=p_0 vs the two-tailed alternative with alpha about .10, find the
likelihood ratio test statistic lambda.
B.) Same except we have one tailed alternative H_a: pp_0.
Please show all work and explanations! Thanks
Solution
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