After Texas A&M lost again to their rival, the University of Texas, in a football game, the A&M Alumni association decided to conduct a survey to see who wanted to fire the head football coach. Let p...

After Texas A&M lost again to their rival, the University of Texas, in a football game, the A&M Alumni association decided to conduct a survey to see who wanted to fire the head football coach. Let p represent the proportion of all alumni who favor firing the coach. To guarantee an estimate that is within 0.05 of p at the 95% confidence level, which of the following is the smallest sample size needed?