Question

In soccer, serious fouls result in a penalty kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 309 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 0.01significance 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?

Goalkeeper Jump

Left | Center | Right | ||

Kick to Left | 56 | 5 | 41 | |

Kick to Center | 44 | 8 | 35 | |

Kick to Right | 47 | 9 | 64 |

Answer #1

H0: Directions of their jumps are independent of the directions of the kicks

H1: Directions of their jumps are NOT independent of the directions of the kicks

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...

In soccer, serious fouls result in a penalty kick with one
kicker and one defending goalkeeper. The accompanying table
summarizes results from
287287
kicks during games among top teams. In thetable, jump direction
indicates which way the goalkeeper jumped, where the kick
direction is from the perspective of the goalkeeper. Use a
0.050.05
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...

Goalkeeper Jump
Left
Center
Right
Kick to Left
53
44
38
Kick to Center
36
13
34
Kick to Right
48
99
56
In soccer, serious fouls result in a penalty kick with one
kicker and one defending goalkeeper. The accompanying table
summarizes results from
291291
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...

Based on their analysis of the penalty kicks, the authors of
the paper gave the following probability estimates.
P(L) = 0.493
P(B|L) = 0.142
P(C) = 0.093
P(B|C) = 0.333
P(R) = 0.414
P(B|R) = 0.126
(a)
For each of the given probabilities, choose a sentence giving
an interpretation of the probability in the context of this
problem.
P(L) = 0.493
The probability that the goalkeeper stays in the center.
The probability that the goalkeeper blocks the shot.
The probability...

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