Question

**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 = 311, x = 140

Answer #1

Solution :

Given that,

n = 311

x = 140

= x / n =140 /311 = 0.450

1 - = 1 - 0.450 = 0.550

At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z_{/2} = Z_{0.05} =
1.645

Margin
of error = E = Z_{ / 2} * (( * (1 - )) / n)

= 1.645 * (((0.450 * 0.550) / 311) = 0.046

margin of error of E = 0.046

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proportion p. Find the margin of error E that corresponds to the
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