Question 1: A 2009 national poll of 1053 U.S. adults found that 548 favored the Governments plan for a stimulus package of a minimum of 800 billion dollars Using "alpha" = 0.05, do the data provide evidence to conclude that a majority (more than 50%) of adults favored passage?
Question 2: A sporting goods producer claims that the variance of the strengths of a certain fishing line is 15.9. A random sample of 15 spools has a variance of 21.8. At "alpha" = 0.01, can the claim be proven wrong? Assume the population is normally distributed.