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.

Forty-three percent of adults would pay more for environmentally friendly products. You randomly select 12 adults. Find the probability that the number of adults who would pay more for environmentally friendly products is

(a) Exactly four,

(b) More than four,

(c) Between four and eight, inclusive.

Find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B to find the probabilities.