Question 9

In the computer game World of Warcraft, some of the strikes are critical strikes, which do more damage. Assume that the probability of a critical strike is the same for every attack, and that attacks are independent. During a particular fight, a character has 271 critical strikes out of 662 attacks. What is the lower bound for the 99% confidence interval for the proportion of strikes that are critical strikes.

Round to three decimal places (for example: 0.419). Write only a number as your answer.