The value of the margin of error is 0.03 if the 98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.
What is the margin of error(MOE)?
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:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
A 98% confidence interval for a proportion is found to be (0.72, 0.78).
The margin of error = (0.78 - 0.72)/2
= 0.06/2
= 0.03
Thus, the value of the margin of error is 0.03 if the 98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.
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