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

Question 50

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 table displays the starting positions for the
Winnners of 240 competitions. Calculate the chi-square test statistic x2x ^ { 2 } used to test the claim that
The probability of winning is the same regardless of starting position..  Starting Position 123456 Number of Wins 443336453250\begin{array}{l|cccccc}\text { Starting Position } & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \text { Number of Wins } & 44 & 33 & 36 & 45 & 32 & 50\end{array}


A) 6.7506.750
B) 15.54115.541
C) 12.59212.592
D) 9.3269.326

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