Lung cancer is the leading cause of cancer deaths in both women and men in the United States. According to Centers for Disease Control and Prevention 2005 statistics, lung cancer accounts for more deaths than breast cancer, prostate cancer, and colon cancer combined. Overall, only about 16% of all people who develop lung cancer survive 5 years. Suppose you want to see if this survival rate is still true. How large a sample would you need to take to estimate the true proportion surviving 5 years after diagnosis to within 1% with 95% confidence? (Use the 16% as the initial value of p.)