Let $X_{1}, \ldots, X_{64}$ be a random sample from a Bernoulli distribution with parameter $\theta$. Suppose that we want to test $H_{0}: \theta \leq \frac{1}{2}$ vs $H_{1}: \theta>\frac{1}{2}$. $$ \begin{aligned) C &=\left\{\left(x_{1}, \ldots, X_{10} ight) \mid X_{1}+\ldots +x_{10} \geq c ight\} W &=\left\{\left(X_{1, \ldots, X_{10} ight) \mid S \geq c ight\} \end{aligned} $$ Let $n=10$ with a critical region: where $S$ is a binomial $(10, \theta) $. Suppose that $S=7$ successes are observed. Find the p-value. SP.PC.068