
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In a study investigating the relationship between smoking and lung cancer, data was collected, organized, and analyzed, resulting in the conclusion that "there is more than a 99% level of confidence that smoking is related to developing lung cancer." Evaluate the correctness of the following statements: (1) Among 100 smokers, at least 99 people have lung cancer; (2) For an individual who smokes, there is a 99% chance they will have lung cancer; (3) Among 100 smokers, there are definitely people with lung cancer; (4) Among 100 smokers, it's possible that none have lung cancer. Identify all correct statements by their numbers.

Present the answer in LaTex format: \boxed{Your answer}
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