In: Statistics and Probability
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 305 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeper jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.05 significance level to test the claim that the direction of the kick is independent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so fast, goalkeepers have no time to react, so the directions of their jumps are independent of the directions of the kicks?
_ Jump_Left Jump_Center Jump_Right
Kick_Left 52 1 39
Kick_Center 44 15 34
Kick_Right 48 10 62
Determine the null and alternative hypothesis , chi square test statistic , p value, critical values, conclusion, reject or fail to reject