GATE 2025 Question 61: Hypothesis testing

A coin has a true probability $\mu$ of turning up Heads. This coin is tossed 100 times and shows up Heads 60 times. The following hypothesis is tested:

$H_0: \mu=0.5 \text{ (Null Hypothesis)}$ $H_1: \mu>0.5 \text{ (Alternative Hypothesis)}$

Using the Central Limit Theorem, the $p$-value of the above test is ______ (round off to three decimal places)

(Hint: If $Z$ is a random variable that follows a standard normal distribution, then $P(Z \le 2) = 0.977$)