Question

Use the given data to find the sample size required to estimate the population proportion. Margin of error: 0.012; confidence level: 98%; p and q unknown

(a) 9396

(b) 7323

(c) 8176

(d) 11519

Answer 1

When prior estimate of proportion p is not known then p = 0.50

Sample size = Z² $\alpha$ /2 * p (1 - p ) / E² , Where E is margin of error

= 2.3263² * 0.50 * 0.50 / 0.012²

= 9395.26

Sample size = 9396 (Rounded up to nearest integer)