Health Effects of the Deepwater Horizon Oil Spill. The Deepwater Horizon oil drilling platform exploded on April 20, 2010, killing 11 workers and causing the largest oil spill in American history. Many Americans participated in the cleanup of coastal property and wildlife habitat, including the cleaning of the wildlife. The National Institute for Occupational Safety and Health (NIOSH) conducted a randomly sampled survey of 54 of these workers who were exposed to oil, dispersant, cleaners, and other chemicals. Of these 54 workers, 25 reported skin problems, such as itchy skin or rash, as a result of exposure to these chemicals. Suppose we are interested in constructing a 95% confidence interval for the population proportion of all wildlife workers who reported such skin problems. Use this information for Exercises 65–72.

Question 8.249

72. Suppose we now want the estimate to be within 0.1330 with 99% confidence instead of 95%. Will the required sample size be larger or smaller and why? Verify your statement by finding the required sample size.