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

Question

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

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 p^ and q^\hat { p } \text { and } \hat { q }p^​ and q^​

Use the Given Data to Find the Minimum Sample Size $\hat { p } \text { and } \hat { q }$