Is there a home field advantage in soccer? We are specifically interested in the Football Association (FA) premier league, a football (soccer) league in Great Britain known for having especially passionate fans. We took a sample of 120 matches (excluding all ties) and found that the home team was victorious in 70 cases.
(a) What is the population of interest? What is the specific population parameter of interest?
(b) Estimate the population parameter using the sample.

(c) Using StatKey or other technology, construct and interpret a 90% confidence interval.
(d) Using StatKey or other technology, construct and interpret a 99% confidence interval.
(e) Based on this sample and the results in parts (c) and (d), are we 90% confident a home field advantage exists? Are we 99% confident?