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A 2011 poll found that 78​% of citizens of a certain country believe that high achieving...

A 2011 poll found that 78​% of citizens of a certain country believe that high achieving high school students should be recruited to become teachers. This poll was based on a random sample of 1016 citizens. Complete parts a and b below.

a) Find a​ 90% confidence interval for the proportion of citizens who would agree with this.

b) Do these data refute a​ pundit's claim that​ 2/3 of citizens believe this​ statement? Explain.

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