A study produced the following data: x variable: 3900, 3220, 2790, 2770, 2160, 1810, 1770, 1680, 1500, 1270 y variable: 256.9, 238.1, 187.3, 233.1, 124.7, 182.1, 31.9, 144.9, 126.9 Reduce the number of data categories by dividing x_i's into those that are low, that is less or equal to the sample mean x_, and those that are high, that is strictly larger than the sample mean. Do the analogous for y_i's. Treating the modified data as a 2x2 contingency table, test whether having low or high y is independent of having low or high x at 95% confidence interval. Assume that sample size is large enough so that you can use the test that would be appropriate for a sufficiently large sample size.