In the year 2032, David is a leading physician’s assistant in an orthopedics clinic. David is researching whether the s

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In the year 2032, David is a leading physician’s assistant in anorthopedics clinic. David is researching whether theseverity of knee injuries in athletes (Mild, Moderate or Severe) isindependent of the sport in which the injury occurred (Football,Basketball, Baseball, Hockey or Soccer). David takes arandom sample of 1004 knee injuries of athletes (contingency tablebelow).
Using α = 0.15, answer the following questions regarding theassumption that the severity of knee injuries in athletes (Mild,Moderate or Severe) is independent of the sport in which the injuryoccurred (Football, Basketball, Baseball, Hockey orSoccer).
Mild Moderate Severe Total
Baseball 73 58 61 192
Basketball 69 76 57 202
Football 68 65 78 211
Hockey 59 58 60 177
Soccer 64 75 83 222
Total 333 332 339 1004
a. Set up the null and alternativehypothesis.
b. What is the expected value of severe kneeinjuries in soccer players under the assumption ofindependence?
c.What is the expected number of mild knee injuries inbaseball players under the assumption of independence?
d. What is the value of the test statistic (reportthe probability distribution for the test statistic and degrees offreedom)?
e.What is/are the critical value(s)?
f. What is thep-value?
g.In the context of the problem, state yourconclusions. Use your test statistic, critical value(s),p-value to support your conclusions.