OCR S3 2006 June — Question 2

Exam BoardOCR
ModuleS3 (Statistics 3)
Year2006
SessionJune
TopicChi-squared distribution

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.
Period1234
Number of accidents138127165170
Test, at the \(5 \%\) significance level, whether the proportions of all accidents that occur in the four time periods differ.