1. The Pew Research Center conducted a survey of 1020 randomly selected adults and found that 85% of them know what Twitter is. Based on that result, find the 90% confidence interval of the population proportion of all adults who know what Twitter is. Find this interval by following the steps below: a. (2 pts) List And Verify the appropriate conditions needed to calculate the intended confidence interval. b. (2 pts) Calculate the confidence interval by giving the appropriate formula and then plugging numbers into that formula. (Give final interval to 3 decimal places) c. (2 pts) Interpret the interval found. d. (2 pts) Perform part (b) using Minitab. Give the output (what the computer prints on the screen) from Minitab here. Verify that the interval given here matched your interval in part (b). e. (2 pts) What is the margin of error for your interval? How could you calculate the margin of error from ONLY the Minitab output provided in part d? f. (1 pt each) Identify for this problem: i. The confidence level ii. The standard error iii. The value of the point estimate iv. The value of the critical value 2. Listed below are the amounts of mercury (in parts per million, or ppm) found in tuna sushi sampled at randomly selected grocery stores in New York City. 0.56 0.75 0.10 0.95 1.25 0.54 0.88 Assume that the amount of mercury found in the tuna sushi population is normally distributed. Construct a 95% confidence interval estimate of the population mean amount of mercury in the population. Find this interval by following the steps below: a. (2 pts) What is the population of interest for this situation? b. (2 pts) List And Verify the appropriate conditions needed to calculate the intended confidence interval. c. (2 pts) Calculate the confidence interval by giving the appropriate formula and then plugging numbers into that formula. (Give final interval to 3 decimal places) (You may use a calculator, Excel, or Minitab to find the values needed for the formula) d. (2 pts) Interpret the interval found. e. (2 pts) Perform part (c) using Minitab. Give the output (what the computer prints on the screen) from Minitab here. Verify that the interval given here matched your interval in part (c). f. (1 pt) The FDA claims the average amount of mercury found in tuna sushi is less than 1ppm. Based on your interval does this claim seem plausible? Could this claim be false? Explain. 3. (3pts) You want to estimate the mean amount of time Internet users spend on Facebook each month. How many Internet users must be surveyed in order to be 95% confident that your sample mean is within 15 minutes of the population mean? Based on results from a prior Nielson survey, assume that the standard deviation of the population of monthly times spent on Facebook is 210 min. Show work, answer question, and give units 4. (3 pts) Banana Republic is interested in knowing the proportion of adults who buy clothing online. How many adults must be surveyed in order to be 95% confident that the sample proportion is within 3 percentage points (.03)? Show work, answer question, and give units 5. (3 pts) You have been given the task of estimating the proportion of Southwest flights that arrive \"on time\