A drug company has developed a new vaccine for preventing the flu. The company claims that fewer than 5% of adults who use its vaccine will get the flu. To test the claim, researchers give the vaccine to a random sample of 1000 adults. Of these, 43 get the flu. Do these data provide convincing evidence to support the company’s claim? Perform an appropriate test to support your answer. Which kind of mistake (Type 1 or Type 2) could you have made in part a? Explain. From the company’s point of view, would Type 1 or Type 2 error be more serious? Why?