In the computer game World of Warcraft, some of the strikes are critical strikes, which do more damage. Assume that the probability of a cri

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 237 critical strikes out of 600 attacks. what is the lower bound for 99% confidence interval for the proportion of strikes that are critical strikes.

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Kinsley 2 weeks 2021-10-01T15:31:07+00:00 1 Answer 0

Answers ( )

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    2021-10-01T15:32:48+00:00

    Answer:

    0.3436

    Step-by-step explanation:

    Answer:

    61.57

    Step-by-step explanation:

    Number of strikes (n) = 600 strikes

    Number of critical strikes (X) = 237 strikes

    Z-score for a 99% confidence interval (Z) = 2.576

    The proportion of critical strikes (p) is:

    p = \frac{237}{600}\\p=0.395

    The lower confidence bound (L) for a confidence interval of a proportion is determined by the following expression

    L= p - Z*\sqrt{\frac{p*(1-p)}{n}}

    Applying the given data:

    L= 0.395 - 2.576*\sqrt{\frac{0.395*(1-0.395)}{600}} \\L=0.3436

    The lower confidence bound for the proportion of strikes that are critical strikes is 0.3436

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