The first n = 52 Super Bowls have an average total points scored of x = 46.2 points and a standard deviation of = 14.1 points. Construct a 90% confidence interval for the true mean total points scored. Use the given degree of confidence and sample data to construct a confidence interval for the population mean . Round your final answers to the nearest hundredth. You will need to calculate the margin of error, followed by the lower and upper end of the confidence interval. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Round your final answers to 3 decimal places. A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval. You will need to calculate the margin of error, followed by the lower and upper end of confidence interval. Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 95% confidence; n = 370, x = 52 Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 95% confidence; n = 312, x = 51