2 The manager of a factory with a large number of employees investigated when accidents to employees occurred during 8-hour shifts. An analysis was made of 600 randomly chosen accidents that occurred over a year. The following table shows the numbers of accidents occurring in the four consecutive 2-hour periods of the 8-hour shifts.
| Period | 1 | 2 | 3 | 4 |
| Number of accidents | 138 | 127 | 165 | 170 |
Test, at the \(5 \%\) significance level, whether the proportions of all accidents that occur in the four time periods differ.