Power of a uniform threshold test

Let $X$ be a random sample of size $1$ from a $U(0,\theta)$ distribution, where $\theta>0$ is an unknown parameter. To test $H_{0}:\theta\ge 1$ against $H_{1}:\theta<1$, the critical region $X<\dfrac{3}{4}$ is being used. If $\beta(\cdot)$ is the power function of the test, then which one of the following statements is NOT true?