The accompanying table lists results of overtime football games before and after the overtime rule was changed in the National Football League in 2011. Use a 0.05 significance level to test the claim of independence between winning an overtime game and whether playing under the old rule or the new rule. What do the results suggest about the effectiveness of the rule change?
.............................................Before Rule Change.............. After Rule Change
Overtime Coin Toss Winner
Won the Game...........................................252......................................24
Overtime Coin Toss Winner
Lost the Game...........................................208.......................................23
Test the given claim.