It is believed that large doses of acetaminophen may cause damage to the liver. A medical researcher wants to conduct a study to estimate the proportion of acetaminophen users in the United States who have had liver damage. Some previous medical documents given by the researcher’s colleagues reported that about 32% of acetaminophen users had liver damage. If she wants limits the margins of error of her 95% confidence interval to 3%, what is the minimum number of participants needed to conduct her study? ( you may assume that the sampling distribution for the proportion is nearly normal)