Use the Given Degree of Confidence and Sample Data to Construct

question 34

Multiple Choice

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p .
n=56, x=30 ; 95% confidence

• A) 0.405<p<0.667
• B) 0.425<p<0.647
• C) 0.426<p<0.646
• D) 0.404<p<0.668

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Definitions:

Arithmetic Sequence

A sequence of numbers in which the difference between consecutive numbers is constant.

Nth Partial Sum

The sum of the first n terms of a sequence, used to determine the cumulative value of a series up to a specified number of terms.

Geometric Sequence

An ordered list of numbers where, starting with the second term, each entry is the result of multiplying the one before it by a consistent, non-zero factor termed the common ratio.

Common Ratio

The constant factor between consecutive terms of a geometric sequence.