The Width of a Confidence Interval Estimate for a Proportion

question 73

Multiple Choice

The width of a confidence interval estimate for a proportion will be

• A)narrower for 99% confidence than for 95% confidence.
• B)wider for a sample size of 100 than for a sample size of 50.
• C)narrower for 90% confidence than for 95% confidence.
• D)narrower when the sample proportion is 0.50 than when the sample proportion is 0.20.

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Definitions:

Composition

In mathematics, the composition of functions refers to the application of one function to the results of another.

Function

A relation or correspondence between two sets in which each element of the first set is paired with exactly one element of the second set, typically described by f(x).

Function

A relation between a set of inputs and allowable outputs, where each input is related to exactly one output.

Compounded Interest

Interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan.