Question 17 (5 points) In the computer game World of Warcraft, some of the strik

Question

Question 17 (5 points) 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 270 critical strikes out of 663 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. Your Answer: Answer

Explanation / Answer

p = 270/663 = 0.407

Z for 99% confidence interval = Z0.005 = 2.58

Lower limit = p - Z0.005 * sqrt(p * (1-p)/n)

                  = 0.407 - 2.58 * sqrt(0.407 * (1-0.407) / 663)

                  = 0.407 - 0.049

                  = 0.358

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