Use the given data to find the minimum sample size required to estimate the population proportion.
Margin of error: $0.008$; confidence level: $98 \% ; \hat { p }$ and $\hat { q }$ unknown
A) 22,184
B) 10,384
C) 21,207
D) 20,308

Question

Quizplus · Accepted Answer

To find the minimum sample size when $\hat{p}$ and $\hat{q}$ are unknown, use the formula $ n = \left(\frac{Z^2 \cdot 0.25}{E^2}\right) $, where $Z$ is the z-score for the confidence level (2.33 for 98%), and $E$ is the margin of error (0.008). Calculating this gives approximately 21,207.

Use the Given Data to Find the Minimum Sample Size 0.0080.0080.008

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