Use the Given Data to Find the Minimum Sample Size $0.008$

question 155

Multiple Choice

Use the given data to find the minimum sample size required to estimate the population proportion.
-Margin of error: $0.008$ ; confidence level: $99 \% ; \hat { \mathrm { p } }$ and $\hat { \mathrm { q } }$ unknown

• A) 26,024
• B) 25,901
• C) 25,894
• D) 15,900

---

Definitions:

Finite Population Correction Factor

A factor applied in sampling calculations to adjust for the size of the population when the sample size is a substantial fraction of the total population, to improve the estimation accuracy.

Margin of Error

An indicator of the confidence in the results of a survey or experiment, expressing the amount of potential error in the measurements.

Sample Size

The number of observations or data points collected in a study or experiment.

Finite Population Correction

An adjustment made to sampling formulas to account for the fact that the sample is drawn from a finite population, often resulting in smaller standard errors.