2. The mayor of a town has money in the budget to build a library, an arena, or a swimming pool. The population of the town is 30,000. The mayor wonders how many people she should survey to help her decide what to build: 25, 100, 2000, 4000, 5000, 10,000, 15,000, or 20,000 people. a) Which sample size would give the mayor the most confidence that she made the correct decision? Explain.

b) Why might the mayor not use this sample size?