Question
In: Statistics and Probability
A) Assume that a sample is used to estimate a population proportion p. Find the margin...
A) Assume that a sample is used to estimate a population
proportion p. Find the margin of error E that corresponds to the
given statistics and confidence level. Round the margin of error to
four decimal places.
95% confidence; n = 380, x = 47
B) Assume that a sample is used to estimate a population
proportion p. Find the margin of error E that corresponds to the
given statistics and confidence level. Round the margin of error to
four decimal places.
90% confidence; n = 316, x = 183
Solutions
Expert Solution
A)
Given that,
Point estimate = sample proportion = 
= x / n = 47 / 380 = 0.124
Z
/2
= 1.96
Margin of error = E = Z
/ 2 * 
* (1 -
)) / n)
= 1.96 * (
Margin of error = E = 0.033
B)
Point estimate = sample proportion =
= x / n = 183 / 316 = 0.627
Z/2
= 1.645
Margin of error = E = Z
/ 2 *
* (1 -
)) / n)
= 1.645 * (
Margin of error = E = 0.045
orchestra answered 2 years agoRelated Solutions
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