According to a poll result by Gallup Institute published on June 22, 2021 says, “Solid majority of Americans, 56%, approve of job Biden is doing as president,” and, “Congress’ approval slips five points to 26%, lowest since January.” These results are based on, “telephone interviews conducted June 1~18, 2021, with a random sample of 1,012 adults, aged

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According to a poll result by Gallup Institute published on June 22, 2021 says, “Solid majority of Americans,
56%, approve of job Biden is doing as president,” and, “Congress’ approval slips five points to 26%, lowest
since January.” These results are based on, “telephone interviews conducted June 1~18, 2021, with a
random sample of 1,012 adults, aged 18 and older, living in all 50 U.S. states and the District of Columbia.”
Answer the problems using the theory of simple random sampling.
◼ 2.1. Explain why the normal distribution (z-distribution) is appropriate for the inferential analyses in this case.
◼ 2.2. Estimate the 98% confidence interval for the president’s approval rate
◼ 2.3. Estimate the 95% lower confidence bound for the congress’ approval rate

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