A group would like to estimate the percentage of town residents who would support a teen curfew. Which statement describes a method that will help the group accurately estimate this percentage? Contact every parent who lives in the town and ask whether they support a teen curfew. Calculate the percentage of the total who say "yes," Take a random sample of residents in the town, and ask each resident in the sample whether or not they support a teen curfew. Then calculate the percentage of the total whe say "yes," Identify all nearby towns that have a teen curfew, Contact the mayor of each of those towns and ask whether he or she thinks the curfew is a good policy. Calculate the percentage of the total who say "yes," Take a random sample of towns in the state. Ask an administrator in the city office whether the town has a teen curfew, and then calculate the percentage of the total who say "yes," 1 2 3 4 5 6 7 8 9 10 Next

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UpStudy AI · Accepted Answer

**Step 1: Understand the goal**

The group wants to estimate the percentage of town residents who support a teen curfew. The key is to obtain a representative sample of all town residents.

**Step 2: Evaluate the methods**

1. **Contact every parent who lives in the town:**  
   This method only surveys parents. It leaves out non-parents, so it is not representative of all residents.

2. **Take a random sample of residents in the town:**  
   A random sample gives every resident an equal chance of selection. If we ask each resident in the sample whether or not they support a teen curfew and then calculate the percentage who say "yes," we are likely to get an accurate estimate of the overall town’s opinion.  
   Mathematically, if $$ n $$ residents are sampled and $$ k $$ say "yes," then the estimated support percentage is  
   $$
   \frac{k}{n} \times 100\%
   $$

3. **Identify all nearby towns with a teen curfew and ask the mayor:**  
   This method does not survey residents of the town in question and relies on the opinions of mayors, which is not representative of the residents’ views.

4. **Take a random sample of towns in the state and ask an administrator whether the town has a teen curfew:**  
   This method does not ask for residents’ opinions, but rather collects data about whether towns have curfews. This is irrelevant to the goal.

**Step 3: Conclusion**

The method that helps the group accurately estimate the support percentage is:

$$
\textbf{Take a random sample of residents in the town, and ask each resident in the sample whether or not they support a teen curfew. Then calculate the percentage of the total who say "yes."}
$$
Take a random sample of town residents and ask each if they support a teen curfew. Then, calculate the percentage who say "yes."

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