Question

A newspaper article about the results of a poll states: "In theory, the results of such a poll, in 99 cases out of 100 should differ by no more than 5 percentage points in either direction from what would have been obtained by interviewing all voters in the United States." Find the sample size suggested by this statement.
Group of answer choices

27

664

544

385

Answer 1

The sample size suggested by this statement is 664 option second is correct.

What is the margin of error(MOE)?

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

$\rm MOE = Z\times \dfrac{s}{\sqrt{n}}$

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

At 99% confidence Z = 2.576

By using the MOE formula:

0.05 = 2.376×√(0.5(0.5)/n)

After calculating

n = 663.57 ≈ 664

Thus, the sample size suggested by this statement is 664 option second is correct.

Learn more about the Margin of error here:

brainly.com/question/13990500

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