1. Describe the type of analysis that would be performed in each situation, selecting from the options below. Using complete sentences, explain your reasoning.

Types of analysis: Confidence interval for a population proportion

Confidence interval for a population mean (z-interval)

Confidence interval for a population mean (t-interval)

One-sample z-test for population proportion

One-sample z-test for population mean

One-sample t-test for population mean

a) Statins can be effective in reducing cholesterol levels in adults. A medical researcher samples 32 patients who are taking Lipitor to determine typical cholesterol levels in patients who use this treatment.

b) The incarceration rate in the U.S. is 639 prisoners per 100,000. You suspect that your state has a lower rate than this, so you collect data on the number of prisoners and the total population of the state.

c) An epidemiologist is researching vaccination trends in adults. She collects data to determine how much of the adult population have had a tetanus shot in the last 10 years, which is how often tetanus boosters are recommended.