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In: Statistics and Probability

Suppose you want to estimate the proportion of voters who will vote for Mary Bills, a...

Suppose you want to estimate the proportion of voters who will vote for Mary Bills, a candidate for state senator. How many should you sample in order to estimate p with a margin of error of 2% and 90% confidence?

Solutions

Expert Solution

Solution,

Given that,

=  1 - = 0.5

margin of error = E =0.02

At 90% confidence level

= 1 - 90%  

= 1 - 0.90 =0.10

/2 = 0.05

Z/2 = Z0.05  = 1.645

sample size = n = (Z / 2 / E )2 * * (1 - )

= (1.645 / 0.02 )2 * 0.5 *0.5

= 1691.26

sample size = n = 1692

orchestra answered 2 years ago
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