The margin of error is 0.07448.
The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.
The margin of error makes the significance of a survey's estimate of a demographic characteristic more evident. If we were to ask this question 100 times using a basic random sample, plus or minus two percentage points, 95 of those times would result in the estimated value.
The margin of error is expressed using the formula;
M = z × √s²/n
Where,
z is the 95% z score = 1.96
s is the standard deviation = 3.8
n is the sample size = 100
M = 1.96 ×√3.8²/100
M = 1.96 ×√0.001444
M = 1.96 × 0.038
M = 0.07448
Hence the margin of error is 0.07448.
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