To investigate the hypothesis that a horse's chances of winning an eight-horse race on a circular track are affected by its position in the starting lineup, the starting position of each of 144 winners was recorded. It turned out that 29 of these winners had starting position one (closest to the rail on the inside track). We model the number of winners with starting position one by a random variable T with a Bin(144, p) distribution. We test the hypothesis H_0: p = 1/8 against H_1: p > 1/8 at level alpha = 0.01 with T as test statistic. Use the normal approximation to determine the rejection region corresponding to alpha = 0.01 and report your conclusion about the null hypothesis