Answer :
The sampling error is 0.25 in exact terms .
Given
That the population, N = 3700 and p = 0.31.
The formula for the sampling error is;
Sampling error (i) = p - Pwhere p is the sample proportion and P is the population proportion.
A random sample of 100 elements selected from this population gave p = 0.56.
Thus,
The population proportion
P = (3700)(0.31) = 1147.
The sample proportion is p = 0.56.
Using the formula above, the sampling error is;
i = p - P = 0.56 - 0.31 = 0.25
Therefore, the sampling error is 0.25.
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