math stisctic 245

7. I have a good friend with whom I play chess. I know that I am a better player than he is, or in other words that I win more than half the time we play. If we have played 216 games of chess, and I have won 121 of them, have 1, in fact, won more than half the games we have played? Use a 5% level of significance to test my claim. (10 points)