Labor force participation among women rose in the United States between 1975 and 2000 and has been declining ever since. According to the U.S. Bureau of Labor Statistics, 58% of women were in the labor force in 2015. a.) If 50 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. b.) If 190 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. c.) Why did the probability increase? 1. The probability increased since the sample size increased and the distribution of sample proportions is more spread out. OR 2. 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%.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Labor force participation among women rose in the United States between 1975 and 2000 and has been declining ever since. According to the U.S. Bureau of Labor Statistics, 58% of women were in the labor force in 2015.
a.) If 50 working-age women are randomly selected, what is the
b.) If 190 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.
c.) Why did the probability increase?
1. The probability increased since the
OR
2. 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%.
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