This project is designed to familiarize you with the use and interpretation of a sample size calculator.

Please answer the questions below. After typing your answers into the spaces provided, please upload this document to Canvas.

Question # 1: You need to conduct a random probability sample of Indianapolis, Indiana residents. The United States Census Bureau estimates that 820,000 people reside in this city.Assuming a 95% confidence level, how large does your sample need to be if you wanted to have the following confidence intervals?

Sample Size

a) Confidence Interval +/- 3% = ________________

b) Confidence Interval +/- 5% = _______________

c) Confidence Interval +/- 7% = ________________

Question # 2: You need to conduct a random probability sample of Indiana residents.The United States Census Bureau estimates that 6,500,000 people reside in this state. Assuming a 95% confidence level, how large does your sample need to be if you wanted to have the following confidence intervals?

Sample Size

a) Confidence Interval +/- 3% = ________________

b) Confidence Interval +/- 5% = ________________

c) Confidence Interval +/- 7% = ________________

Question # 3: You need to conduct a random probability sample of fan attending a Clemson University football game. Clemson's football stadium seats 80,000 fans. Assuming a 95% confidence level, how large does your sample need to be if you wanted to have the following confidence intervals?

Sample Size

a) Confidence Interval +/- 3% = ________________

b) Confidence Interval +/- 5% = ________________

c) Confidence Interval +/- 7% = ________________

Question # 4: Based on the patterns observed above in questions 1, 2, and 3, what conclusions can you draw regarding the relationship between population size, sample size, and confidence intervals? Please add more space below if necessary.

Question # 5: Please rerun all of the analyses in Questions 1-3 - this time, using a 99% confidence level.

a) Redo Question 1 - with a 99% Confidence Level

Confidence Interval +/- 3% = _________________

Confidence Interval +/- 5% = _________________

Confidence Interval +/- 7% = _________________

b) Redo Question 2 - with a 99% Confidence Level

Confidence Interval +/- 3% = _________________

Confidence Interval +/- 5% = _________________

Confidence Interval +/- 7% = _________________

c) Redo Question 3 - with a 99% Confidence Level

Confidence Interval +/- 3% = _________________

Confidence Interval +/- 5% = _________________

Confidence Interval +/- 7% = _________________

Question 6: Based on the results from Questions 1, 2, 3, and 5a, 5b and 5c - what is the relationship between population size, the confidence level, the confidence interval, and the total sample size when conducting a survey using a random probability sample? What patterns emerged from doing these calculations using the online sample size calculator? Please add more space below if necessary.