Question

In? soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 291 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?

What is The Test Statistic x^2=_________(round to 4 decimal places)

What is the P value (Round to 4 decimal places)

Whats is the Null hYpoothesis:

What is the research hypothesis:

Reject or fail to reject he null hypothesis_______ there is or is not suifficent evidence to suppport the claiim________because P is> or <________

goal keeper jump

		left	center	right
	kick to left	59	4	41
	kick to center	45	8	30
	kick to right	42	7	55

Answer 1

Solution: What is The Test Statistic ?

Answer:

Where:

is the observed frequency

is the expected frequency

The expected frequencies can be calculated as:

  

Therefore

What is the P value

Answer:

What is the Null hypothesis:

Answer: The null hypothesis is:

  The direction of the kick is independent of the direction of the goalkeeper jump.

What is the research hypothesis:

Answer: The research hypothesis is:

  The direction of the kick is not independent of the direction of the goalkeeper jump.

Fail to reject he null hypothesis. There is suifficent evidence to suppport the claim because P is> 0.01