Is there a dependency between the starting gate position and whether a horse finishes in "first place"? If so, which gate(s) are most likely to produce a winner?Please help!

Horse Racing Is there a dependency between the starting gate position and whether a horse nishes in "rst place"? If so, which gate(s) are most likely to produce a winner? The following data represents the starting gate positions and how the horses nished in terms of Win (rst place), Place (second place), or Show (third place) in one year at .GOLDEN GATE FINDS W9, umm 123 |161 133 |135 180 | 202 158 | 112 Total Starts 889 889 889 889 889 889 867 440 92 l. a. Fill in the following table. IGate123456789 lvvnn 149 |th'Vh1 740 b. Test for Independence between if a horse wins or does not win and starting gate position. Show all the steps outlined in the lecture notes. Include the table and graph. 2. If a Dependency exists between if a horse wins or does not win and starting gate position, nd 95% condence intervals for the proportion of winning for each gate. You can just write the intervals, no work is needed. Gate 95 % confidence interval 1 \\OOO\\IO'\\UI-I>UJN 3. We want to determine which starting position is most probable to produce a winner. a. Which gate interval has the largest lower limit? b. Which gate intervals overlap this interval? 0. Test if the proportions of wins from each of the gates with overlapping intervals are equal to the proportion of wins from the gate from your answer to part (a). Do separate complete hypothesis tests for each using methods from the lecture notes. 4. Conclusion: Which gate(s) are more likely to produce a winner? Explain