P-value of one-sided t-test

Let $X_1, X_2, \dots, X_9$ be a random sample from a $N(\mu, \sigma^2)$ distribution, where $\mu\in\mathbb{R}$ and $\sigma > 0$ are unknown. Let the observed values of $\bar{X}=\frac{1}{9}\sum_{i=1}^9 X_i$ and $S^2 = \frac{1}{8}\sum_{i=1}^9 (X_i - \bar{X})^2$ be $9.8$ and $1.44$, respectively. If the likelihood ratio test is used to test the hypothesis $H_0: \mu=8.8$ against $H_1: \mu > 8.8$, then the $p$-value of the test equals __________ (round off to $3$ decimal places)