
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
The Ministry of Ecology and Environment, the Ministry of Industry and Information Technology, the Ministry of Commerce, the General Administration of Customs, and the State Administration for Market Regulation jointly issued the "Announcement on Matters Concerning the Implementation of the National VI Emission Standards for Vehicles," clearly stating that starting from July 1, 2023, the National VI emission standard phase 6b will be fully implemented nationwide, prohibiting the production, import, and sale of vehicles that do not meet the National VI emission standard phase 6b. To investigate the public's understanding of this announcement, a sample survey was conducted on residents of a city, and the data obtained is shown in the table below:

|          | Understand | Do Not Understand | Total |
|----------|------------|-------------------|-------|
| Female   | 140        | 60                | 200   |
| Male     | 180        | 20                | 200   |
| Total    | 320        | 80                | 400   |

$(1)$ Based on the above data, according to the independence test with a small probability value of $\alpha = 0.001$, can it be concluded that the understanding of this announcement is related to gender? Explain the reason;<br/>$(2)$ Using the sample frequency as the probability, if 5 residents are randomly selected from the city for an interview, find the probability that exactly 3 of these 5 residents understand the announcement.

Given formula: ${χ^2}=\frac{{n{{(ad-bc)}^2}}}{{({a+b})({c+d})({a+c})({b+d})}}$, where $n=a+b+c+d$.

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