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using the Slovin's formula at 5% margin of error what is the prescribed sample size from the population of 9.763 registered voters?a. 384 b. 372 c. 344 d.391​

using the Slovin's formula at 5% margin of error what is the prescribed sample size from the population of 9.763 registered voters?

a. 384 b. 372 c. 344 d.391​

Answer:

we can use the following formula:

\[ n = \frac{N}{1 + Ne^2} \]

explaination

Where:

- \( n \) = sample size

- \( N \) = population size

- \( e \) = margin of error (expressed as a decimal)

Given:

- Population size (\( N \)) = 9,763

- Margin of error (\( e \)) = 5% or 0.05

Plugging in the values:

\[ n = \frac{9763}{1 + 9763(0.05)^2} \]

\[ n = \frac{9763}{1 + 9763(0.0025)} \]

\[ n = \frac{9763}{1 + 24.4075} \]

\[ n = \frac{9763}{25.4075} \]

\[ n \approx 384.48 \]

Rounding to the nearest whole number, the prescribed sample size is 384. Therefore it's

384 letter A

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