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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.

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