SOLUTION: A poll asked people to name the most serious problem facing the country. forty-three percent of the 900 randomly selected people said crime. What is the margin of error? Round to f

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Question 1041828: A poll asked people to name the most serious problem facing the country. forty-three percent of the 900 randomly selected people said crime. What is the margin of error? Round to four decimal places.
A.) 0.0165
B.) 0.0330
C.) 0.0261
D.) 0.0523
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming a 95% confidence interval, the critical z value is z = 1.96 which rounds to 2

z = 2
phat = 0.43
1-phat = 1-0.43 = 0.57
n = 900

margin of error = z*sqrt(phat*(1-phat)/n)
margin of error = 2*sqrt(0.43*0.57/900)
margin of error = 0.03300505011863
margin of error = 0.0330

The final answer is choice B) 0.0330