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.