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European Union countries report that 46% of their labor force is female. The United Nations wants to determine it the percentage of females in the U.S. labor force is the same. Based on a sample of 500 randomly selected employment records, representatives from the United States Department of Labor find that the 95% confidence interval for the proportion of females in the U.S. labor force is 0.357 to 0.443. Which of the following is the correct interpretation? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. BUSMD, we are 95% confident that the percentage of females in a sample of the U.S. labor force is between 35.7% and a 44.3%. BUSMD, we are 95% confident that the margin of error (M.E.) for the true percentage of females in the U.S. labor force is between 35.7% and 44.3%. BUMSD, we are 95% confident that all samples of size 500 will yield a percentage of females in the U.S. labor force that falls within 35.7% and 44.3%. BUSMD, we are 95% confident that the true value of population parameter for proportion of persons in the U.S. labor d. force that is female is between 35.7% and 44.3%.

European Union countries report that 46% of their labor force is female. The United Nations wants to determine it the percentage of females in the U.S. labor force is the same. Based on a sample of 500 randomly selected employment records, representatives from the United States Department of Labor find that the 95% confidence interval for the proportion of females in the U.S. labor force is 0.357 to 0.443. Which of the following is the correct interpretation? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. BUSMD, we are 95% confident that the percentage of females in a sample of the U.S. labor force is between 35.7% and a 44.3%. BUSMD, we are 95% confident that the margin of error (M.E.) for the true percentage of females in the U.S. labor force is between 35.7% and 44.3%. BUMSD, we are 95% confident that all samples of size 500 will yield a percentage of females in the U.S. labor force that falls within 35.7% and 44.3%. BUSMD, we are 95% confident that the true value of population parameter for proportion of persons in the U.S. labor d. force that is female is between 35.7% and 44.3%.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Title: Understanding Confidence Intervals in Labor Force Gender Analysis** **Introduction:** European Union countries report that 46% of their labor force is female. The United Nations aims to determine if the percentage of females in the U.S. labor force is the same. Based on a sample of 500 randomly selected employment records, representatives from the United States Department of Labor find that the 95% confidence interval for the proportion of females in the U.S. labor force is 0.357 to 0.443. Which of the following is the correct interpretation? **Question:** Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. **Options:** a) BUSMD, we are 95% confident that the percentage of females in a sample of the U.S. labor force is between 35.7% and 44.3%. b) BUSMD, we are 95% confident that the margin of error (M.E.) for the true percentage of females in the U.S. labor force is between 35.7% and 44.3%. c) BUSMD, we are 95% confident that all samples of size 500 will yield a percentage of females in the U.S. labor force that falls within 35.7% and 44.3%. d) BUSMD, we are 95% confident that the true value of the population parameter for the proportion of persons in the U.S. labor force that is female is between 35.7% and 44.3%. **Explanation:** To correctly interpret the confidence interval, remember that a 95% confidence level means that if we were to take 100 different samples and compute a confidence interval for each sample, we expect approximately 95 of the intervals to contain the true population parameter. **Answer:** The correct interpretation is option d) BUSMD, we are 95% confident that the true value of the population parameter for the proportion of persons in the U.S. labor force that is female is between 35.7% and 44.3%.
Transcribed Image Text:**Title: Understanding Confidence Intervals in Labor Force Gender Analysis** **Introduction:** European Union countries report that 46% of their labor force is female. The United Nations aims to determine if the percentage of females in the U.S. labor force is the same. Based on a sample of 500 randomly selected employment records, representatives from the United States Department of Labor find that the 95% confidence interval for the proportion of females in the U.S. labor force is 0.357 to 0.443. Which of the following is the correct interpretation? **Question:** Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. **Options:** a) BUSMD, we are 95% confident that the percentage of females in a sample of the U.S. labor force is between 35.7% and 44.3%. b) BUSMD, we are 95% confident that the margin of error (M.E.) for the true percentage of females in the U.S. labor force is between 35.7% and 44.3%. c) BUSMD, we are 95% confident that all samples of size 500 will yield a percentage of females in the U.S. labor force that falls within 35.7% and 44.3%. d) BUSMD, we are 95% confident that the true value of the population parameter for the proportion of persons in the U.S. labor force that is female is between 35.7% and 44.3%. **Explanation:** To correctly interpret the confidence interval, remember that a 95% confidence level means that if we were to take 100 different samples and compute a confidence interval for each sample, we expect approximately 95 of the intervals to contain the true population parameter. **Answer:** The correct interpretation is option d) BUSMD, we are 95% confident that the true value of the population parameter for the proportion of persons in the U.S. labor force that is female is between 35.7% and 44.3%.
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