It is hypothesized that when homing pigeons are disoriented in a certain manner, they will exhibit no preference for any direction of flight after takeoff (so that the direction X should be uniformly distributed on the interval from 0° to 360°). To test this, 120 pigeons are disoriented, let loose, and the direction of flight of each is recorded; the resulting data follows.

Use the chi-squared test at level .10 to see whether the data supports the hypothesis.

x2 5 5.0, k 5 4 x x 2 5 21.3, df 5 5 2 5 18.0, df 5 9 x x 2 5 13.0, df 5 6 2 5 7.5, df 5 2 a 5 .01, k 5 6, x2 5 10.20 a 5 .10, df 5 2, x2 5 4.36 a 5 .01, df 5 3, x2 5 8.54 a 5 .05, df 5 4, x2 5 12.25 Direction Frequency 12 16 17 Direction Frequency 15 13 20 Direction Frequency 17 10