Question

In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 297 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 0.01 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? Click the icon to view the penalty kick data. Determine the null and alternative hypotheses. A. Upper H 0​: Goalkeepers jump in the direction of the kick. Upper H 1​: Goalkeepers do not jump in the direction of the kick. B. Upper H 0​: Jump direction is independent of kick direction. Upper H 1​: Jump direction is dependent on kick direction. Your answer is correct.C. Upper H 0​: Jump direction is dependent on kick direction. Upper H 1​: Jump direction is independent of kick direction. D. Upper H 0​: Goalkeepers do not jump in the direction of the kick. Upper H 1​: Goalkeepers jump in the direction of the kick. Determine the test statistic. chi-squared equals nothing ​(Round to three decimal places as​ needed.)

Answer 1