Several factors are involved in the creation of a confidence interval. Among them are the sample​...

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Advance Math

Several factors are involved in the creation of a confidenceinterval. Among them are the sample​ size, the level of​confidence, and the margin of error. Which statements are​true?

Select all true statements below.

A.

For a certain confidence​ level, you can get a smaller margin oferror by selecting a bigger sample.

B.

For a given sample​ size, reducing the margin of error will meanlower confidence.

C.

For a given confidence​ level, a sample 9 times as large willmake a margin of error one third as big.

D.

For a fixed margin of​ error, smaller samples will mean lowerconfidence.

E.

None of these statements are true.

Answer & Explanation Solved by verified expert
4.4 Ratings (954 Votes)
A For a certain confidence level you canget a smaller margin of error by selecting a biggersampleAnswer TrueJustification The margin of error is the rangeof value below and above the sample statistic in confidenceintervalWhen the sample size increases we get more information aboutthe population proportion As a result our estimate    See Answer
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