1. A single observation, $x$, is taken from a discrete random variable $X\textasciitilde{}B(15,p)$ to test ${H}_{0}∶p=0.5$ against  ${H}_{1}∶p\neq0.5$.  

For the purposes of this test, one of the critical regions is specified as being $X\geq12$.

Calculate the probability of incorrectly rejecting the null hypothesis when conducting this test and state whether this would be a Type I or a Type II error.