Exercise 9.2: Calculating Sample Error and Sample Size

1. You read an article in a political science journal about attitudes towards the European Union among citizens of Denmark. The author states that his conclusions are based on a probability sample of 835 citizens of Denmark who are eighteen years of age or older. Calculate the sampling error for the sample showing your work below.





2. A friend of yours is planning to run for mayor of a large western city. She has asked you to conduct a survey to determine initial attitudes about her potential candidacy. Since a great deal of money could be invested in her campaign, she really needs to know if she has a chance. You believe that a sample is needed that will ensure sampling error of no more than 4.5% with 95% confidence. Determine the sample size you will need to accomplish this goal.