By: Leslie Doctor, Michael Dibenedetto, and Austin Smith
Introduction:
The topic of our study was if there is a significant difference between the touchdown to interception ratio of the NFC Quarterbacks and the AFC Quarterbacks. We predicted that there might be a difference between the touchdown to interception ratios of the AFC and NFC quarterbacks. If a Quarterback’s touchdown to interception ratio is higher, we predict that his team has a better chance of winning. We expect this result because a winning football team should have a better ratio. The populations for this study are all the NFL quarterbacks in the AFC and the NFC. The variables we are finding are the touchdown to interception ratio for each quarterback.
Methods:
Our data collection process was going to ESPN.go.com, onto their NFL section, and then clicking on standings. Then going to the 2011 regular season to get the winning percentages and records of the teams. Then to get the touchdown to interception ratio, we went to the NFL section of ESPN.go.com, clicked on stats, and then went to the 2011 regular season. Then, by clicking on offensive leaders, and being able to switch between the NFC and the AFC, we were able to see the touchdown to interception ratio. There is a bias of some quarterbacks did not play enough games to have a large enough sample size. We weren’t able to avoid the bias, because we needed 24 samples, and there are only 16 teams per conference. We believe the sample was representative of the population because the website we got our information from is a reliable source and all of the data from our population was supplied by the source. The statistical test we used for this research question is a 2sample T test. It is not a matched pair because there was no way to compare one quarterback from one conference, to another quarterback from the other conference.
Results:
Confidence Level: 95%
Point Estimate: (NFC ratio  AFC ratio) .46
Margin of Error: .606
Degrees of Freedom: 23, Tscore: 2.069
Confidence Interval: (.146,1.066)
Conclusions:
From our study, we found that there is not a difference between the touchdown to interception ratio between the NFC quarterbacks and the AFC quarterbacks. At the 95% confidence level the mean difference of touchdown to interception ratio between the NFC and AFC quarterbacks is between (.146, 1.066). The confidence interval does contain 0, so there is evidence at the .05 signifcance level that the challenge failed. We also found that the NFC teams had a higher winning percentage than the AFC teams. This correlated to the ratio statistics that we gathered from both the NFC and the AFC.
Summary statistics:


Summary statistics:


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