Find and Interpret the Confidence Interval

question 5

Multiple Choice

Find and interpret the confidence interval.
-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 .357 to .443. Which of the following is the
Correct interpretation?

• A) The percentage of females in the U.S. labor force 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 a percentage of females in the U.S. labor force that falls within 35.7% and 44.3%.
• E) None of the above.

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Definitions:

Negligence

A lack of the care expected from a person of average caution facing similar circumstances.

Self Defence

The right to prevent harm to oneself by using reasonable force, as permitted under the law.

Battery

Unwelcome physical contact; deliberate, non-consensual physical interference to someone’s body.

Assault

A deliberate verbal or physical threat; an action that makes a person fear physical interference.