Insoccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 296 kicks during games among top teams. In thetable, 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 goalkeeper jump. Do the results support the theory that because the kicks are sofast, goalkeepers have no time toreact, so the directions of their jumps are independent of the directions of thekicks?

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Determine the null and alternative hypotheses.

A.

H0: Goalkeepers do not jump in the direction of the kick.

H1: Goalkeepers jump in the direction of the kick.

B.

H0: Jump direction is dependent on kick direction.

H1: Jump direction is independent of kick direction.

C.

H0: Jump direction is independent of kick direction.

H1: Jump direction is dependent on kick direction.

D.

H0: Goalkeepers jump in the direction of the kick.

H1: Goalkeepers do not jump in the direction of the kick.

Determine the test statistic

(Round to three decimal places asneeded.)

Determine theP-value of the test statistic.

(Round to four decimal places asneeded.)

Do the results support the theory that because the kicks are sofast, goalkeepers have no time toreact, so the directions of their jumps are independent of the directions of thekicks?

There is (insufficient/ sufficient) evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results (support/ do not support) the theory that because the kicks are sofast, goalkeepers have no time to react.