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 is Lane 2, and so on until the outermost, Lane 6. The data lists the number of wins for track hurdlers in the different starting positions. Test the claim that the probabilities of winning are the same in the different positions. Use alpha 0.05. The results are based on 240 wins.
Starting positions 1 2 3 4 5 6
Numbers of Wins 50 32 45 44 33 36
State the null, alternative, expected value.