Discussion Questions

1. In chapter 7, estimation is defined as a process whereby we select a random sample from a population and use a sample statistic to estimate a population parameter. As a class, discuss some helpful ways for thinking about estimation. Are there particular terms, examples, or graphics that are useful for remembering this definition?

2. In the 2016 presidential election, most Americans were inundated with poll results, all of which reported a margin of error. Discuss what a margin of error means for poll results. What does it tell us and why is it necessary to include this information in poll results?

3. What is the role of sample size in the calculation of confidence intervals? In chapter 7, we learned that we can increase the precision of a confidence interval by increasing the sample size. Discuss the concept of an ideal sample size. Is there an ideal or optimal sample size? If yes, what is it and how to calculate it? If not, why not?

4. Discuss the type of situation in which we would want a 95% confidence interval. When would we want a 99% confidence interval?

5. Discuss the difference between point estimates and interval estimates. Explain which estimate is more accurate.