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please answer number 2 only, and please guide me with an explanation on each step in order to get the answer for number 2, thank you
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- For each of the following problems, (a) Write the important information, (b) Verify the CLT conditions, (c) Calculate the margin of error and confidence interval (d) Interpret the confidence interval. According to a 2017 Gallup Poll, 617 out of 1028 randomly selected adults living in the United States felt the laws covering the sale of firearms should be more strict. Find a 95% confidence interval for the population proportion who favor stricter gun laws.For a population data set, σ=13.4. How large a sample should be selected so that the margin of error of estimate for a 95% confidence interval for μ is 3.20? Round your answer up to the nearest whole number.For a population data set, σ = 13.3 . How large a sample should be selected so that the margin of error of estimate for a 97 % confidence interval for μ is 2.50 ? Round your answer up to the nearest whole number.
- If n=310 and ˆpp^ (p-hat) =0.47, find the margin of error at a 99% confidence levelGive your answer to three decimalsRefer to the following scenario. An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 339 people living in East Vancouver and finds that 33 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.04. How large a sample should she take to achieve this? Sample size=?