Based on the above scenario, which of the following statements is/are true? (I) The sample risk ratio of lung cancer between smokers and non-smokers does not give a good estimate of the population risk ratio. (II) The sample odds ratio of lung cancer between smokers and non-smokers gives a good estimate of the population odds ratio.
A researcher wishes to examine the impact that smoking has on the risk of getting lung cancer in Town X. Town X has a population of 500,000 people, of which 5,780 people have lung cancer, whilst the rest do not. He randomly sampled 10% of the people with lung cancer and 20% of the people without lung cancer and enquires about their smoking history. From here we assume the following
- The number of people with lung cancer is accurate and known to the researcher.
- All the sampled participants agreed to participate in the researcher’s study.
- All participants gave truthful responses regarding their smoking history.
The results are summarized in the
|
|
Lung cancer |
No lung cancer |
Row total |
|
Smokers |
457 |
20,246 |
20,703 |
|
Non-smokers |
121 |
78,598 |
78,719 |
|
Column total |
578 |
98,844 |
99,422 |
Based on the above scenario, which of the following statements is/are true?
(I) The sample risk ratio of lung cancer between smokers and non-smokers does not give a good estimate of the population risk ratio.
(II) The sample odds ratio of lung cancer between smokers and non-smokers gives a good estimate of the population odds ratio.
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