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The Egyptian Air Force brass believe that overweight pilots have slow reaction times. They attribute the poor performance of their air force in recent war in the Sinai to overweight pilots. The accompanying data were collected for a sample of pilots. Determine if there is an association between reaction time and pilot weight using a significance level of 0.05.
Observed Counts: Pilot Weight
Reaction Time Normal Up to 10 pounds overweight More than 10 pounds overweight
Poor 14 36 45
Adequate 35 40 33
Excellent 46 25 15
Please provide statistical hypotheses, a table of expected counts, a check of assumptions, test statistic, p-value (range or single value), and an appropriate conclusion.
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