4. 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 in this context. (d) Do these data refute a pundit’s claim that at least 2/3 of Americans believe this statement? Explain.
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