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Question

The following table shows the mortality figures among hazardous industry workers :
Age groupNational death rate per 1000Hazardous industry worker populationObserved deaths
25-342.030008
35-443.520009
45-546.0200013
What is the Standardized Mortality Ratio (SMR) for the hazardous industry workers (as compared to national popu-lation) ?

The correct answer is
100

Hazardous Industry Worker SMR Calculation

This section details the calculation of the Standardized Mortality Ratio (SMR) for hazardous industry workers compared to the national population using the provided data.

1. Calculate Expected Deaths per Age Group

Expected deaths are calculated by applying the national death rate to the specific population of hazardous workers in each age group.

Formula: $ \text{Expected Deaths} = \left( \frac{\text{National Death Rate}}{1000} \right) \times \text{Worker Population} $

  • Age 25-34: $ \left( \frac{2.0}{1000} \right) \times 3000 = 6 $
  • Age 35-44: $ \left( \frac{3.5}{1000} \right) \times 2000 = 7 $
  • Age 45-54: $ \left( \frac{6.0}{1000} \right) \times 2000 = 12 $

2. Sum Observed and Expected Deaths

Aggregate the deaths across all age groups.

  • Total Observed Deaths: $ 8 + 9 + 13 = 30 $
  • Total Expected Deaths: $ 6 + 7 + 12 = 25 $

3. Compute the Standardized Mortality Ratio (SMR)

The SMR compares the observed mortality in the worker group to the expected mortality based on national rates.

Formula: $ SMR = \left( \frac{\text{Total Observed Deaths}}{\text{Total Expected Deaths}} \right) \times 100 $

Calculation: $ SMR = \left( \frac{30}{25} \right) \times 100 = 1.2 \times 100 = 120 $

The calculated SMR for the hazardous industry workers is 120.

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