
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 the calculation involving the two categorical variables of smoking and lung disease, the statement "If the observed value of $\chi^{2}$ is $6.635$, we have $99\%$ confidence that smoking is related to lung disease" means:
$①$ "Among $100$ smokers, there must be $99$ people with lung disease."
$②$ "There is a $1\%$ chance that the inference is incorrect."
$③$ "If a person smokes, then he has a $99\%$ chance of having lung disease."
$④$ "If a person smokes and has lung disease, then $99\%$ is due to smoking."
The correct interpretation is \_\_\_\_\_\_.

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