5. Kylie used video technology to monitor the direction of flight, as a bearing, \(x\) degrees, for 450 honeybees that left her beehive during a particular morning. Kylie's results are summarised in the table below.
| Direction of flight | Frequency |
| \(0 \leqslant x < 72\) | 78 |
| \(72 \leqslant x < 140\) | 69 |
| \(140 \leqslant x < 190\) | 51 |
| \(190 \leqslant x < 260\) | 108 |
| \(260 \leqslant x < 360\) | 144 |
Kylie believes that a continuous uniform distribution over the interval [0,360] is a suitable model for the direction of flight.
Stating your hypotheses clearly, use a 1\% level of significance to test Kylie's belief. Show your working clearly.