Many Track Runners Believe That They Have a Better Chance $$\chi ^ { 2 }$$

Multiple Choice

Many track runners 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 runners in the different starting
Positions. Calculate the chi-square test statistic χ $$\chi ^ { 2 }$$ to test the claim that the number of wins is uniformly
Distributed across the different starting positions. The results are based on 240 wins. $$\begin{array} { c | c c c c c c } \text { Starting Position } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Number of Wins } & 45 & 36 & 33 & 50 & 32 & 44\end{array}$$

A) 6.750
B) 9.326
C) 12.592
D) 15.541