I'm trying to prove that my presence on my college football team has a statistically significant effect (for the better). To make things easier I'm ignoring draws.
I have data on the wins and losses of matches with and without me playing for the team, and the dates of each match (though I'm fairly confident the dates are not important).
Without me: P: 27, W: 17, L: 10, With me: P: 12, W: 8, L: 4
I am trying to figure out what the best statical test to show significance is. As it stands I currently think that treating my team without me as a coin with probability of heads (winning) and tails (losing) being equal to win / loss percentages of my team (17/27 and 10/27 respectively). I then plan on asking what the chance of getting the win / loss record with me on the team - 5 wins in 7 games i.e. getting 5 heads from 7 coin flips.
Is this approach a. sound, and b. the most appropriate?
Thanks in advance,