Teachers A 2011 Gallup poll found that 76% of Americans believe that high achieving high school stu-dents 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 ofAmericans 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 ofAmericans believe this statement? Explain.

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Teachers A 2011 Gallup poll found that 76% of
Americans believe that high achieving high school stu-
dents 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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