Question 1 1 pts 1. Define a p-value (3pt) 2. a. A researcher wants to test whether the intake of fish oil (a pungent smelling derivative of some species of marine life) lowers cholesterol levels in American males. The researcher finds a sample of 100 men, measures their cholesterol levels, offers them fish oil, and measures their levels again after a few weeks. Explain the flaw in this approach and how you would correct it. (2pt) b. Let's say the researcher recruited 10,000 instead of only 100. Explain the changes in direction and magnitude of i) The size of any confidence intervals. ii) The critical value of a hypothesis test. If more information is needed to explain the change in magnitude, say so. (4pt) c. It turns out instead of using a random sample, the researcher's recruited subjects by reaching out to her friends on Facebook. How could that invalidate the results? (2pt)