Please explain how you get the answer A candidate for political office commissio

Question

Please explain how you get the answer

A candidate for political office commissioned a poll. His staff received responses from 900 likely voters and 55% of them said they would vote for the candidate. The staff then conducted a simulation of 1000 more polls of 900 voters, assuming that 55% voters would vote for their candidate. The output of the simulation is shown in the diagram below. Given this output, and assuming a 95% confidence level, the margin of error for the poll is closest to 0.01 0.03 0.06 0.12

Explanation / Answer

standard deviation = ( p(1-p) / n)1/2

p= sample proportion= 55%

n= sample size = 900

standard deviation = ( [55/100] [ 1- 55/100]) / 900)1/2

= (0.55*0.45 / 900)1/2

= 0.0165

margin of error = critical value*standard deviation

[ from graph critical value = 2]

margin of error = 2*0.0165=0.033

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