a senator wishes to estimate the proportion of united states voters who favor new road construction. what size sample should be

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2 years ago

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obtained in order to be 95% confident

1 answer:

Nitella [24] · Answer 1 · 2023-02-10T13:38:12+03:00

The size of the sample should be obtained at 2401 in order to be 95% confident

Given that:

Margi of error, $ME=0.02$

Population proportion, $p=0.50$

To Find: The size of the sample that should be obtained in order to be 95% confident

Let the size of the sample be n

Using formula,

$n=(p*(1-p))*(z(0.05/2)/ME)^{2} \\n=(0.5*(1-0.5))*(1.96/0.02)^{2} \\n=0.25*9604\\n=2401$

Therefore, the size of the sample should be obtained at 2401 in order to be 95% confident

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