The countries of Europe report that 46% of the labor force is female. The United Nations wonders if the percentage of females in the labor force is the same in the United States. Representatives from the United
States Department of Labor plan to check a random sample of over 10,000 employment records on file to
estimate a percentage of females in the United States labor force.
1. The representatives from the Department of Labor want to estimate a percentage of females in the
United States labor force to within +3%, with 95% confidence. How many employment records
should they sample? (4 points)
2. They actually select a random sample of 600 employment records, and find that (250) of the
people are females. Create the confidence interval. Remember to PANIC. (10 points)
3. Explain what 95% confidence means in this context. (3 points)
That is about 95% of the sample(600) will create a confidence interval that contains p, which is the true
percentage of the female labor force.
4. Should the representatives from the Department of Labor conclude that the percentage of females
in their labor force is lower than Europe's rate of 46%? Explain. (3 points)