Labor force participation among women rose in the United States between 1975 and 2000 and has beeen declining ever since. According to the U.S. Bureau of Labor Statistics, 58% of women were in the labor force in 2015.

1. If 90 working age women are randomly selected, what is the probability that between 52% and 61% are in the labor force? Round your answer to 4 decimal places.
2. If 150 working age women are randomly selected, what is the probability that between 52% and 61% are in the labor force? Round your answer to 4 decimal places.
3. Why did the probability increase?

• The probability increased since the sample size increased and the distribution of sample proportions is more spread out.
• The probability increased since the sample size increased and the sample proportions are more concentrated near the true labor force participation rate of 58%58%