In the computer game World of Warcraft, some of the strikes are critical strikes

Question

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 218 critical strikes out of 624 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.

Explanation / Answer

The Z value for 99% is given by : +2.56

p = 218/624 = .3494

So, Lower bound = p - Z*sqrt(p*p'/n) = .3494 - 2.56*sqrt(.3494*.6506/624)

= .3005

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