Question

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?

Answer 1

Explanation:

a. 20,000 people because the more people you ask the more likely it is that you get a more accurate answer

b. because it would be more difficult to ask 20,000 people a question than 100 or 2000 people. it would take more time/effort/energy/resorces.