
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
According to the gender analysis data of a certain brand's user population (referring to the population who browsed brand-related content and product detail pages within a specified period) in our city published by a certain information website in China in May, in order to analyze the new data well, a random sample survey was conducted based on gender preferences. $100$ users were randomly selected, and the relevant data statistics are shown in the table below:

|         | Likes | Dislikes |
|---------|-------|----------|
| Male    | $13$  | $27$     |
| Female  | $42$  | $18$     |

$(1)$ Using stratified sampling method, $5$ users were randomly selected from the group of users who dislike the brand. How many female users should be selected?  
$(2)$ Among the $5$ users selected above, if $2$ users are randomly chosen to participate in a discussion, what is the probability that exactly $1$ of them is a male user?  
$(3)$ Try to determine whether there is a $99\%$ certainty that liking or disliking the brand is related to gender.  
Reference formula: $\chi^{2}=\frac{n(ad-bc)^{2}}{(a+b)(c+d)(a+c)(b+d)}$, where $n=a+b+c+d$.  
Reference data:

| $P(\chi^{2}\geq k_{0})$ | $0.50$ | $0.40$ | $0.25$ | $0.15$ | $0.10$ | $0.05$ | $0.025$ | $0.010$ |
|-------------------------|--------|--------|--------|--------|--------|--------|---------|---------|
| $k_{0}$                 | $0.455$| $0.708$| $1.323$| $2.072$| $2.706$| $3.841$| $5.024$ | $6.635$ |

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