A recent article (dated on March 15, 2022) by PEW Research Center reports, “Three weeks into Russia’s military invasion of Ukraine, nearly half of Americans (47%) approve of the Biden administration’s handling of the Russian invasion, while about four-in-ten (39%) disapprove; 13% say they are not sure.”               Use the theory of simple random sampling with the sample size n=10 441 to answer the problems. ◼ 1.1. Explain why the normal distribution (z-distribution) is appropriate for the inferential analyses in this case. ◼ 1.2. Estimate the 96% confidence interval for the proportion of the US adults who disapprove the Biden administration’s handling of the Russian invasion of Ukraine. ◼ 1.3. Estimate the 97% upper confidence bound for the proportion of the US adults who think the Biden administration’s handling of the Russian invasion of Ukraine is “about the right amount.”

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A recent article (dated on March 15, 2022) by PEW Research Center reports, “Three weeks into Russia’s
military invasion of Ukraine, nearly half of Americans (47%) approve of the Biden administration’s handling of
the Russian invasion, while about four-in-ten (39%) disapprove; 13% say they are not sure.”
 
 
 
 
 
 
 
Use the theory of simple random sampling with the sample size n=10 441 to answer the problems.
◼ 1.1. Explain why the normal distribution (z-distribution) is appropriate for the inferential analyses in this case.
◼ 1.2. Estimate the 96% confidence interval for the proportion of the US adults who disapprove the Biden
administration’s handling of the Russian invasion of Ukraine.
◼ 1.3. Estimate the 97% upper confidence bound for the proportion of the US adults who think the Biden
administration’s handling of the Russian invasion of Ukraine is “about the right amount.”
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