2. Linus Pauling believed that vitamin C prevents colds and conducted a now-famous medical experiment to prove his theory. His subjects were 279 French skiers who were randomly assigned to receive either vitamin C or a placebo. Of the 139 given vitamin C, 17 got a cold. 0f the 140 given the placebo, 31 got a cold. Using a one-sided test, nd out if these data support the conclusion that vitamin C prevents colds. Use a signicance level of 0.05. a. Name the test and check the conditions needed for it. b. State the hypotheses. c. Calculate the value of the test statistic and draw a sketch. d. Calculate the P-value for the test. e. What is your conclusion? Explain in the context of this