Find confidence interval for the proportion of females


EU (European Union) countries report that 46% of their labor force is female. The United Nations wants to determine if the percentage of females in the U.S. labor force is the same. Based on a sample of 500 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?

A We are 95% confident that between 35.7% and 44.3% of the persons in the U.S. labor force is female
B The margin of error for the true percentage of females in the U.S. labor force is between 35.7% and 44.3%
C The percentage of females in the U.S. labor force is between 35.7% and 44.3%
D 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%
E None of these

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Basic Statistics: Find confidence interval for the proportion of females
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