Question

12. Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.028; confidence level: 99%; p and q unknown.

Please show work step by step. thank you!

Answer 1

Answer Date: 14/08/2020 The sample size is, First, compute the z-critical value, the sample proportion then find the sample size. The z-critical value is, First, compute alpha level (a ) and 21-af2 then find the z-critical value. The alpha level (a ) is, a=1-C = 1-0.99 = = 0.01 The 21-012 is, 21-a/2 = 21-0.0172 = 20.995

The Z-critical value is, By using Excel software, find z-critical value with the help of the following steps: 1) Select NORMSINV from Functions. 2) Enter Probability. 3) Click Ok. NORMSINV Probability .995 = 0.995 2.575829304 From Excel output, the z-critical value is 2.576. The sample proportion (P) is 0.50 die to the when the sample proportion is unknown, the sample proportion is 0.50.

The q is, p=1-9 =1-0.50 = 0.50 2 = Zc E хрха x 0.50 0.50 2.576 0.028 = 2116 The sample size is 2116