i sixsigma
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In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 298 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 51 3 36
Kick_Center 41 15 35
Kick_Right 44 8 65
Determine the null and alternative hypothesis for the chi-square test
Find the critical value from the chi-square table
Determine the test statistic
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?
