6. In June of 2004, the Harris organization asked a random sample of 2136 adult Americans: "Would you favor or oppose abolishing the penny so that the nickel would be the lowest denomination coin? It turned out that 41% responded in favor of abolishing the penny. a. Identify the parameter of interest, both in words and with a symbol. b. Verify the conditions for using the z-procedure to determine a confidence interval based on the sample result. Then calculate this confidence interval, using the 95% confidence level. Also interpret what this interval means. c. Suppose that you want to conduct a study to estimate the population proportion of Bethany students who favor abolishing the penny to within 0.04 with 99% confidence. Determine the smallest sample size that would achieve this goal. [Hint: Use the sample proportion from the Harris poll in determining this sample size, and show your work.] d. Would your answer to d) depend upon whether the population of interest was all American adults or all West Virginia adults? Explain.