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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pedrocarratore pedrocarratore · Answer 1 · 2020-03-13T06:35:06+01:00

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:

[tex]p = \frac{237}{600}\\p=0.395[/tex]

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

[tex]L= p - Z*\sqrt{\frac{p*(1-p)}{n}}[/tex]

Applying the given data:

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

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