In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 312 kicks during games among top teams. In the​ table,...

In​ soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from

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

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.

Determine the test statistic.

​(Round to three decimal places as​ needed.)

Determine the​ P-value of the test statistic.

​(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

evidence to warrant rejection of the claim that the direction of the kick is independent of the direction of the goalkeeper jump. The results

the theory that b





















ecause the kicks are so​ fast, goalkeepers have no time to react.