Use the given data to find the minimum sample size required to estimate the population proportion.
-Margin of error: 0.03; confidence level: 95%; from a prior study, $\hat { p }$ is estimated by the decimal equivalent of 66%.
A) 1654
B) 862
C) 958
D) 2817

Question

Quizplus · Accepted Answer

The minimum sample size $ n $ 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 (1.96 for 95%), $ \hat{p} = 0.66 $, and $ E = 0.03 $. Plugging in these values gives $ n \approx 958 $.

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

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