The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
<h3>What is the margin of error(MOE)?</h3>
It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:

Where   Z is the z-score at the confidence interval
             s is the standard deviation
             n is the number of samples.
We have: 
n = 50, X = 29, 
Estimate point p = 29/50 = 0.58
q = 1-p = 1-0.58 = 0.42
Z at 0.05/2 (95% confidence interval) = 1.96

After calculating:
MOE = 0.137
Confidence interval will be: (p - MOE, p+MOE)
= (0.58-0.137, 0.58+0.137)
 = (0.443, 0.717)
Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
Learn more about the Margin of error here:
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