In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 304 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? E Click the icon to view the penalty kick data. Determine the null and alternative hypotheses O A. Hg: Goalkeepers jump in the direction of the kick. H: Goalkeepers do not jump in the direction of the kick. O B. Hg: Jump direction is dependent on kick direction. H: Jump direction is independent of kick direction. O. Hg: Goalkeepers do not jump in the direction of the kick H: Goalkeepers jump in the direction of the kick. OD. Hg: Jump direction is independent of kick direction. H: Jump direction is dependent on kick direction. Determine the test statistic. 2-Round to three decimal places needed) Determine the P-value of the test statistic. P-value =O(Round to four decimal places as needed) 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? There is V evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results V the theory that because the kicks are so fast, goalkeepers have no time to react.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.