In a study done in the state of Wyoming to detect the presence of CWD, a serious disease in deer, the Wyoming Game and Fish Department selected a random sample of 4300 mule deer from a total population of approximately 500,000 mule deer in the state. The disease was detected in 98 of the mule deer in the sample.
a. Build a 99% confidence interval estimate of the proportion of Wyoming’s population of mule deer who had the disease. If the Game and Fish Department is planning a new study, how big a sample should be tested in order to ensure a margin of error of no more than
b. + .005 for a 99% confidence interval estimate of the proportion of all deer in the region that have CWD. Treat the original study as a pilot sample.
c. + .003 for a 95% confidence interval estimate of the proportion of all deer in the region that have CWD. Treat the original study as a pilot sample.