Question

Wow: 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 critical strikes out of attacks

construct a confidence interval for the proportion of strikes that are critical strikes. round the answer to at least three decimal places. a confidence interval for the proportion of strikes that are critical strikes is .

Answer 1

To construct a confidence interval for the proportion of critical strikes in World of Warcraft, one must determine the proportion of critical hits, select a confidence level for the corresponding z-score, compute the margin of error, and apply this to the sample proportion for the confidence interval's range.

Step-by-step explanation:

To construct a confidence interval for the proportion of strikes that are critical strikes in the game World of Warcraft, we need to know the number of critical strikes out of a given number of attacks. Since the exact numbers are missing from the question, I'll explain the general process for constructing a confidence interval.

The formula for a confidence interval for a proportion is:

Confidence interval = p ± (z * sqrt[(p*(1-p))/n])

Where p is the sample proportion, z is the z-score corresponding to the desired confidence level, and n is the sample size.

To calculate this:

1. Calculate the sample proportion (p) by dividing the number of critical strikes by the total number of attacks.
2. Choose a confidence level (90%, 95%, or 99%) and find the corresponding z-score from a standard normal distribution table or calculator.
3. Calculate the margin of error by multiplying the z-score by the standard error, which is the square root of (p*(1-p)/n).
4. Add and subtract this margin of error from the sample proportion to find the lower and upper limits of the confidence interval.

The critical value changes depending on the confidence level, for example at 95% confidence level, the critical value is approximately 1.96; for a 90% confidence level, the critical value is 1.645. If you want a more conservative estimate, you would use a 99% confidence level which would give a wider interval.

The idea behind the confidence interval is similar to making inferences in other fields. For instance, investors might be interested in the proportion of stocks that go up or down each week. Just like in gaming, where one might calculate the probability of critical strikes, investors use probabilities to understand market movements.