1. An investigator has developed a new diagnostic procedure. He would like to test to see if this new procedure is superior to the old procedure which has a sensitivity of 75%. A sample of 100 patients that are known to have a specific disease are evaluated with this new procedure. Of the 100, 86 of them are classified by it as a positive.

a. List the null and alternative hypotheses

b. Is the z-test valid here? Explain your answer

c. Test the hypotheses that created in part using =0.05

d. Give the real-world answer

2. Assume that you now want to create a confidence interval/bound for number one.

a. a confidence interval, upper bound or lower bound and why

b. Using =0.05, create what you decided on in part a

c. Interpret the interval

d. Use the interval to test the hypotheses from #1, did you get the same result?

3. The following are the results of a study on exposure to a particulate and the larynx cancer on roughly 2000 people that lived in a certain city.