Problems 20-25. Use the information below to answer the questions, A survey was

Question

Problems 20-25. Use the information below to answer the questions, A survey was conducted to determine if adults in the U.S., France, and Germany believed humans contribute to global warming. Of 1125 adults in the U.S., 68% believed humans contribute to global warming, of 984 adults in France, 74% believed humans contribute to global warming, and of 2707 adults in Germany, 78% believed humans contribute to global warming. (Note: Two proportions may possibly be equal if their confidence intervals overlap.) 20. 21, 22. 23. 24. 25. Construct a 99% confidence interval for the proportion of adults from the U.S. who say that humans contribute to global warming Construct a 99% confidence interval for the proportion of adults from France who say that humans contribute to global warming Construct a 99% confidence interval for the proportion of adults from Germany who say that humans contribute to global warming Based on your results for questions 20 and 21, is it possible that the proportion for adults in the U.S. may equal the proportion of adults in France? Based on your results for questions 21 and 22, is it possible that the proportion for adults in France may equal the proportion of adults in Germany? Based on your results for questions 20 and 22, is it possible that the proportion for adults in the U.S. may equal the proportion of adults in Germany?

Explanation / Answer

Solutin20:

p=population proprtion of US who fee that humans are responsible for global warming

p^=0.68

n=1125=sample szie

z crit for 95%=1.96

95% confidence interval for true population proportion of US who say that humans contribute to global warmin are

p^-zsqrt(p^(1-p^)/n,p^+zsqrt(p^(1-p^)/n

0.68-1.96*sqrt(0.68*(1-0.68)/984,0.68+1.96*sqrt(0.68*(1-0.68)/984

0.651,0.709

0.651<p<0.709

we are 95% confdient that the true population proportion of US who say that humans contribute to global warming lies in between 65.1% and 70.9%

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