EU (European Union) countries report that 46% of theoir labor force is female. T

Question

EU (European Union) countries report that 46% of theoir 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, representative from the United States Department of labor find that 95% confidence interval for the proportion of females in the U.S labor force is .357 to .443. Which of the following is the correct interpretation?

A. The percentage of females in the U.S labor is between 35.7% and 44.3%

B. We are 95% confident that between 35.7% and 44.3% of the persons in the U.S labor force is female

C. The margin of error for the true percentage of females in the U.S labor force is between 35.7% and 44.3%

D. All samples of size 500 will yield percentage of females in the U.S labor force that falls within 35.7% and 44.3%

E. None of the above.

Explanation / Answer

Here correct option is 'B'

i.e B. We are 95% confident that between 35.7% and 44.3% of the persons in the U.S labor force is female

since confidence interval always reveals range of estimated values about parameter with some chance

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