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Many Track Hurdlers Believe That They Have a Better Chance x2x ^ { 2 }

question 13

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Many track hurdlers believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6 . The data lists the number of wins for track hurdlers in the different starting positions. Calculate the chi-square test statistic x2x ^ { 2 } to test the claim that the probabilities of winning are the same in the different positions. Use α\alpha
=0.05 . The results are based on 240 wins.
 Starting Position 123456 Number of Wins 335044323645\begin{array} { l | c c c c c c } \text { Starting Position } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Number of Wins } & 33 & 50 & 44 & 32 & 36 & 45\end{array}

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