What is the margin of error for a poll with a sample size of 1550 people? Round your answer to the nearest hundredth of a percent.
SOLUTION:
From given data,
What is the margin of error for a poll with a sample size of 1550 people?
Sample size = n = 1550
Since no prior estimates ,
Let us assume
= 0.5
= 0.05
/2 = 0.05 / 2 = 0.025
Z/2 = Z0.025 = 1.96
Margin of error = E = Z/2 * sqrt((1-) / n)
E = 1.96 * sqrt(0.5(1-0.5) / 1550)
E = 1.96 * 0.01270
E = 0.0249
E = 2.49 %
Margin of error =E = 2.49 %
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