In: Statistics and Probability
a) Using the dataset with 280 out of 500 matches won, construct a 99% confidence interval in StatKey using the percentile method. Take at least 5,000 resamples. Don’t forget to include a screenshot from StatKey and to identify your answer.
b) When the confidence level was changed from 95% to 99%, how did the confidence interval change? Explain why.
a)
99% confidence interval is 0.504 to 0.620
b)
95% confidence interval is 0.518 to 0.606
when the confidence level was changed from 95% to 99%, width of confidence interval increases because Increasing the confidence will increase the margin of error resulting in a wider interval.