Question

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 standard error for the confidence interval?

A. .5/SQRT(1,000)

B. SQRT((.5*.5)/1000)

C. SQRT((.47*.53)/1000)

D. Cannot be determined from the information given.

Answer 1

470 P= 1000 1000 = 0.47

q=1-0.47 = 0.53

SE = *(1-P) 0.47*0,53 1000

C. SQRT((.47*.53)/1000)