Which of the Following Statements Is True Regarding a 95

question 1

Multiple Choice

Which of the following statements is true regarding a 95% confidence interval? Assume numerous large samples are taken from the population.

• A)In 95% of all samples, the sample proportion will fall within 2 standard deviations of the mean, which is the true proportion for the population.
• B)In 95% of all samples, the true proportion will fall within 2 standard deviations of the sample proportion.
• C)If we add and subtract 2 standard deviations to/from the sample proportion, in 95% of all cases we will have captured the true population proportion.
• D)All of the above.

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Definitions:

Inductive Reasoning

A method of reasoning in which general principles are inferred from specific observations, moving from specific instances to broader generalizations.

Set of Premises

A collection of statements or propositions that form the basis for a conclusion or logical argument.

Mathematics

The scientific study of numbers, quantities, shapes, and patterns, using symbolic logic and methodology to solve theoretical problems and practical applications.

Byzantine Empire

A term used to describe the Eastern Roman Empire from the fall of the Western Roman Empire in the 5th century A.D. to the fall of Constantinople in 1453.