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

ID: 3335790 • Letter: I

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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