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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 301 kicks during
In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 301 kicks during games among top teams. In the table, jump direction indicates which way the goalkeeperjumped. 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 goalkeeperjump. Do the results support the theory that because the kicks are so fast, goalkeepers have no time to react, so the directions of theirjumps are independent of the directions of the kicks? g Click the icon to View the penalty kick data. (3 H1: Goalkeepers do notjump in the direction of the kick. Determine the test statistic. x2 = 13.489 (Round to three decimal places as needed.) Determine the P-value of the test statistic. P-value = 0.0000 (Round to four decimal places as needed.) X Pentalty Kick Data Goalkeeper Jump Left Center Right Kick to Left 56 5 36 Kick to Center 40 14 33 Kick to Right 47 9 61 Print Done
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