6. Pinworm: In a random sample of 800 adults in the USA, it was found that 72 of those had a pinworm infestation. (a) What is the point estimate for the proportion of all adults with pinworms? (b) What is the 90% condence interval for the proportion of all adults with pinworm? (c) What is the 99% condence interval for the proportion of all adults with pinworm? (d) The Center for Disease Control (CDC) wants to improve the 99% condence interval for the proportion of healthy adults with pinworm. They want an estimate that is in error by no more than one percentage point. What sample size is needed to obtain this type of accuracy? Use the prior value of 13 to calculate this number. (e) Repeat the previous problem only assume no knowledge of f). (f) In Sludge County, the proportion of adults with pinworm is found to be 0.14. Based on your answer to (c), does Sludge County's pinworm infestation rate appear to be greater than the national average