For the next Associated Student Government (ASG) election, we polled 650 students and found that 40% favor Candidate S. In order to estimate with 99% confidence what percent of ALL voters would vote for Candidate S, we should use:

Chi-Square Test for Independence
Two Dependent Sample Means Comparison Given Data
Two Independent Sample Means Comparison Given Data
Hypothesis Test for a Population Mean Given Data
Confidence Interval for a Population Proportion
Confidence Interval for a Population Mean Given Statistics
Two Independent Proportions Comparison
Two Independent Sample Means Comparison Given Statistics
One-Way ANOVA
Confidence Interval for a Population Mean Given Data
Hypothesis Test for a Population Mean Given Statistics
Chi-Square Test for Goodness of Fit
Hypothesis Test for a Population Proportion

For the scenario described, where you are trying to estimate the percent of **all voters** who would vote for **Candidate S** based on the sample data (40% favoring Candidate S out of 650 students), the appropriate method is:

### **Confidence Interval for a Population Proportion**

This method allows you to estimate the proportion of the population (all voters) who favor Candidate S with a certain level of confidence (in this case, 99%).

### Explanation:
- **Why Confidence Interval for a Population Proportion?**  
   - You are dealing with proportions (percent of voters) from a sample.
   - You have a sample proportion (40%) and want to estimate the population proportion with a specified level of confidence (99% confidence interval).
   - The sample size is provided (650), and from this, you can calculate the margin of error and confidence interval.

The other options involve comparing means, testing hypotheses for means, or using tests like ANOVA or chi-square, which are not relevant here since you are working with a single population proportion.

Would you like details on how to calculate this confidence interval? 

### Related Questions:
1. How do you calculate a confidence interval for a population proportion?
2. What formula is used to find the margin of error for a confidence interval?
3. What is the difference between confidence intervals for proportions and means?
4. How does the sample size affect the confidence interval width?
5. What does a 99% confidence level mean in practical terms?

### Tip:
For proportions, always check if the sample size is large enough for the normal approximation to be valid (the rule of thumb is \(np \geq 5\) and \(n(1-p) \geq 5\)).

For the next Associated Student Government (ASG) election, we polled 650 students and found that 40% favor Candidate S. In order to estimate with 99% confidence what percent of ALL voters would vote for Candidate S, we should use: Chi-Square Test for Independence, Two Dependent Sample Means Comparison Given Data, Two Independent Sample Means Comparison Given Data, Hypothesis Test for a Population Mean Given Data, Confidence Interval for a Population Proportion, Confidence Interval for a Population Mean Given Statistics, Two Independent Proportions Comparison, Two Independent Sample Means Comparison Given Statistics, One-Way ANOVA, Confidence Interval for a Population Mean Given Data, Hypothesis Test for a Population Mean Given Statistics, Chi-Square Test for Goodness of Fit, Hypothesis Test for a Population Proportion

Learn how to calculate a 99% confidence interval for a population proportion based on a sample of 650 students, where 40% favor Candidate S. This problem covers key statistical concepts like the confidence interval for population proportion, relevant formulas, and important theorems. Suitable for college-level students.

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