Statistical Inference — LRT and Neyman-Pearson equivalence

Let $x_1,x_2,…,x_n$ be a random sample from a Poisson distribution with parameter $\lambda>0$. Which of the following statements are correct in respect of Likelihood Ratio Test (LRT)? 1. The LRT for testing $H_0:\lambda=\lambda_0$ against $H_1:\lambda>\lambda_0$ produces UMP test identical to the test obtained by NP theory of testing. 2. The LRT for testing $H_0:\lambda=\lambda_0$ against $H_1:\lambda<\lambda_0$ produces UMP test identical to the test obtained by NP theory of testing. 3. The LRT for testing $H_0:\lambda=\lambda_0$ against $H_1:\lambda\ne\lambda_0$ produces UMPU test identical to the test obtained by NP theory of testing. Select the correct answer using the code given below: