
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
To determine the percentage of second-grade items in a batch, a random repeated sampling of 100 units is performed. Determine the confidence limits for the percentage of second-grade items in the entire batch, which can be guaranteed with a confidence probability of $P=0.997$, given that the sample contains 25 second-grade items.

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