
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
A batch of sports shoes was randomly sampled to determine the number of qualified sports shoes. The frequency table of qualified sports shoes is as follows:

| Number of Pairs Sampled | $20$ | $40$ | $60$ | $80$ | $100$ | $200$ | $300$ |
|-------------------------|------|------|------|------|-------|-------|-------|
| Frequency of Qualified  | $17$ | $38$ | $55$ | $75$ | $96$  | $189$ | $286$ |
| Frequency Rate          | $0.85$ | $0.95$ | $0.92$ | $0.94$ | $0.96$ | $0.95$ | $0.95$ |

Estimate the number of defective pairs in a total of $1500$ pairs of sports shoes.

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