Question: (4 points)

A construction company wants to determine if the likelihood of having an injury is related to the type of worker. The table below shows how many workers it has had in various categories and the number of accidents that people in each group has suffered. (You may assume that the maximum number of accidents suffered by any single person is 1.)

(Warning: there is a high potential to lose accuracy in the calculation for this question. Ensure that all your calculations have a sufficient number of significant digits that this does not occur. Suggestion: use a spreadsheet to ensure you get the accuracy.)

The statistical test is to occur at a level of significance equal to 1%.

Enter the expected number of accidents for each type of worker into the table above based on the assumption that the accident rates for each type of worker are independent (Answer to 3 decimal places).

What is the value of the statistic that you would calculate to determine if this data is independent? (Answer to 3 decimal places)

What is the boundary for the critical region for this test (from the relevant table)? (Answer to 3 decimal places)

Based on the result of the test you:

1. Conclude that the likelihood of having an injury is independent of the type of worker
2. Conclude that the likelihood of having an injury is not independent of the type of worker

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Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document