Use the given data to find the minimum sample size required to estimate the population proportion.
-Margin of error: 0.07; confidence level: 90%; from a prior study, $\hat { p }$ is estimated by 0.30.
A) 116
B) 103
C) 8
D) 348

Question

Quizplus · Accepted Answer

The minimum sample size can be calculated using the formula: $ n = \left( \frac{Z^2 \cdot \hat{p} \cdot (1-\hat{p})}{E^2} \right) $, where $ Z $ is the Z-score for the confidence level (1.645 for 90%), $ \hat{p} $ is the estimated proportion (0.30), and $ E $ is the margin of error (0.07). Plugging in these values gives approximately 116.

Use the Given Data to Find the Minimum Sample Size p^\hat { p }p^​

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