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David, Post-Doctoral Degree
Category: Calculus and Above
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Experience:  Theoretical Physics
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Assume a random sample used to estimate a population proportion

Resolved Question:

Assume a random sample used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level.

95% confidence level
sample size 1257
35% successes
Submitted: 4 years ago.
Category: Calculus and Above
Expert:  David replied 4 years ago.

David :

For a 95% confidence interval, z(α/2) = 1.96
p-hat = 0.35
q-hat = 1 - p-hat = 1 - 0.35 = 0.65
The maximum error is E = z(α/2)√[(p-hat)(q-hat)/n ] = (1.96)*sqrt(0.35*0.65/1257) =0.026368118
Answer: 0.0264

David :

hope this helps

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