4.1.8 qulz Using Data to Make Inferences Question 8 of 10 Suppose a population contains 80,000 people. All else being equal, a study based on a population sample that includes which of the following numbers of respondents would you have the most confidence in? \( \begin{array}{l}\text { A. } 80 \\ \text { B. } 8000 \\ \text { C. } 800 \\ \text { D. } 8\end{array} \)

To determine which sample size provides the most confidence in making inferences about a population of 80,000 people, it's essential to understand how sample size impacts the reliability of statistical estimates. **Key Points:** 1. **Sample Size and Confidence:** - Larger sample sizes generally lead to more accurate and reliable estimates of population parameters. - With a larger sample, the margin of error decreases, and the confidence intervals become narrower, providing more precise estimates. 2. **Options Analysis:** - **A. 80:** A relatively small sample size; higher margin of error, less confidence. - **B. 8,000:** A large sample size; lower margin of error, higher confidence. - **C. 800:** Moderate sample size; better than very small samples but not as reliable as larger ones. - **D. 8:** Extremely small sample size; very high margin of error, minimal confidence. **Conclusion:** Among the given options, **8,000 respondents (Option B)** provide the most confidence in making inferences about the population. This large sample size reduces variability and increases the reliability of the study's conclusions. **Answer:** **B. 8000**