1.A public opinion poll asked 518 Ontario adults the question: "Would you support Candidate X as an Ontario provincial leader?" and 233 of the adults answered "yes." You are asked to do the one sample Z test about the population proportion, p, to determine if this represents evidence, a=0.05, that less than half of the population of Ontario provincial leader? Don't do the test, but state

a.The critical value(s)

b.The calculated (observed) value of Z

2.Bacteria in hamburger are distributed throughout the meat. Suppose that a large batch of hamburger has an average contamination rate of 0.3 bacteria per gram and the count of bacteria is well modeled by Poisson distribution. (a) What is the probability that a 5-gram sample will contain exactly 2 bacteria? (b) Samples of hamburger weighing 3 grams are taken every 20 minutes. What is the probability that there be at least one bacteria in each of the next two 3-gram samples?