Question

· Question 16 You want to obtain a sample to estimate a population proportion. At this point in time, you have no for the population proportion. You would like to be 90% confident that you esimate is within 0.05 of the true population proportion. How large of a sample size is required? Do not round mid-calculation.

please don't round mid calculation(:

Answer 1

Date Page Solution :- Given that ô = 0.5 E = 0.05 1- 0.5 = 0.5 At a a = = 90 % Confidence level 1-90 % - 0.90 = 0.10 = 0.05 , 0.10 a 2 24/2 = 20.05 = 1.645 Sample size =D= 24/2 x 2 Ê X (1-P) 1.645 0.05 x 0.5 x 0.5 n = 270.60 n = 271 The required sample size is 271.

Date Page Given that, n = 360 x = 278 la) (6) PEŽ - 278 - 0.772 360 1 - P = 1-0.772 = 0.228 At 95% confidence level, a = 1-95%. ='1-0.95 = 0.05 x = 0.05 = 0.025 2 2 Zal2 = 20.025 = 1.96 Margin of erros = € = 2x12 x Êx (1-9) E = 1.96 x 0.772 x 0.228 360 € = 0.0433 A 95% confidence interval is, ê - c pe Å TE 0.772-0.0433 <p < 0.772 +0.0433 0.7287 < 'p< 0.8153 W interval is, The 95% confidence 110.7287 , 0.8153)