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:

Method Names

Identifiers used in programming to name a method, which often describe the action the method performs and follow naming conventions.

InstanceOf Operator

The instanceOf operator in Java is used to check whether an object is an instance of a specific class or interface, returning true or false.

Downcasting

The process of converting a reference of a parent class to a reference of a subclass in object-oriented programming.

Polymorphism

A concept in object-oriented programming that allows methods to do different things based on the object that it is acting upon, supporting methods with the same name but different implementations.