Final answer:
The cumulative incidence of lung cancer in Rhode Island, considering 30% of the population smokes, is 52.2 cases of lung cancer per 1,000 people.
Step-by-step explanation:
To calculate the cumulative incidence of lung cancer in Rhode Island, we consider the incidence rates among smokers and non-smokers and the proportion of smokers in the population.
According to the information provided:
- Smokers suffer from 160 cases of lung cancer per 1,000.
- Non-smokers suffer from 6 cases of lung cancer per 1,000.
- 30% of the Rhode Island population smokes.
We calculate the cumulative incidence using the formula:
Cumulative Incidence = (Incidence in Smokers × Proportion of Smokers) + (Incidence in Non-Smokers × Proportion of Non-Smokers)
For the smokers:
- 160 cases × 0.30 (30%) = 48 cases per 1,000
For the non-smokers:
- 6 cases × 0.70 (70%) = 4.2 cases per 1,000
Adding these together:
- Cumulative incidence in Rhode Island = 48 + 4.2 = 52.2 cases per 1,000
This is the overall risk of developing lung cancer in the state, given the current smoking rates.