A 2011 Gallup poll found that 76% of Americans believe that high achieving high school students should be recruited to become teachers. This poll was based on a random sample of 1002 Americans. a) Find a 90% confidence interval for the proportion of Americans who would agree with this. b) Interpret your interval in this context. c) Explain what “90% confidence” means. d) Do these data refute a pundit 's claim that 2/ 3 of Americans believe this statement? Explain.