Question

ally kick with one kicker and one defending goalkeeper. The accompanying table summarizes results from 299 kicks during gam mich way the goalkeeper jumped, where the kick direction is from the perspective of the goalkeeper. Use a 0.05 significance lev Sent of the direction of the goalkeeper jump. Do the results support the theory that because the kicks are so fast, goalkeepers pendent of the directions of the kicks? ick data. theses. * Pentalty Kick Data int of kick direction on kick direction ction of the kick Che direction of the Kick to Left Kick to Center Kick to Right Goalkeeper Jump Left Center Right 51 39 44 14 32 47 10 62 on kick direction it of kick direction the direction of the ction of the kick. Print Done is needed.)

Answer 1

Based IN on ginen information, abbrobriate hypothuis are: Hoi Jump direction is independent of kick direction. H,: Tump direction is dependent of kick direction. Coption A is correct) test statistic, x² = (oi-eija observed value table tollows: left Center RIH Total Left 39 center ly Right 47 119 Total 133 (299→ grand total expected value Cei) as follows: Center Right 51 go n 44 32 go 10 62 142 24 Left 142 x 90 = 42.74 299 24 x 90 299 7.22 133x90= 40,03 299 Center 142 x 90 299 42.74 24 x 90 = 7.22 299 133x20 - 40.03 289 Right 142011 299 56.52 24 X lig 299 =9.55 133 x 1g 52.93 299 (51-42.74²+ X2 62-52193)? + 20,037 42.74 52.93 - p-vale is .0005 at df = (2-1) (C-1) = (3-1) (2-1)= 4. Since p-value is less than a. so we should reject to There is enough evidence to rejection the claim that the dire of the kick is independent of the direction of the goalkeeper jump. enough or sufficient)