MP test for two geometric samples

Let $Y_{1},Y_{2}$ be a random sample of size $2$ from a distribution with the probability mass function $$f(y)=\begin{cases}\theta(1-\theta)^{y},&y=0,1,2,…\\0,&\text{otherwise,}\end{cases}$$ where $\theta\in(0,1)$ is an unknown parameter. Let $\psi$ be the most powerful randomized test for testing $H_{0}:\theta=0.20$ against $H_{1}:\theta=0.75$ at level $0.05$. Which of the following statements is/are true?