Lung cancer is the leading cause of cancer deaths in both women and men in the United States, Canada, and China. In several other countries, lung cancer is the number one cause of cancer deaths in men and the second or third cause among women. Only about 14% of all people who develop lung cancer survive for 5 years.

Source: eMedicine Consumer Journal, June 20, 2002, Volume 3, Number 6 Suppose you wanted to see if this survival rate were still true. How large a sample would you need to take to estimate the true proportion surviving for 5 years after diagnosis to within 1% with 95% confidence? (Use the 14% as the value of p.)