Question

Question 25 3 pts Large Sample Proportion Problem. Surveys were conducted in multiple countries and respondents were asked if they felt political news was reported fairly. The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly. Suppose we want to construct a 95% confidence interval. What is the lower and upper bound? 0.0407 0.4293 to 5107 0.4391 to 5009 0.0309

Answer 1

solution: given that, x = 470 n = 1000 1 = 7 = 470 = 0.47 1000 Point estimate i = 0.47 - P = 1-0.47 = 0.53 the z is | At 95% confidence level x = 1 - 95% x= 1- 0.95 L = 0.05 42 = 0.025 Za = 20.025= 1.96 margin of error E= Z42x Ê (1-2) = 1.96 x 0.47 (0.53) V 1000 E = 0.0309 At asl. confidence interval the pis P - E L P L P t E 0.47-0.0309 < p <0.47 + 0.0309 0.4391 LPL 0.5oog. | Answer = .439) to .500g