(b) What is the margin of error? Round your answer to one decimal place. margin of error \( = \) eTextbook and Media
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The margin of error is a statistical term that quantifies the uncertainty in survey results. It indicates how much the survey results may differ from the true population value. For example, if a poll shows candidate A with 60% support and the margin of error is ±3%, candidate A's actual support could be anywhere between 57% and 63%. This is crucial for interpreting data correctly! When calculating the margin of error, the formula often used is \( \text{ME} = z \times \frac{s}{\sqrt{n}} \), where \( z \) is the z-score corresponding to the desired confidence level, \( s \) is the sample standard deviation, and \( n \) is the sample size. It's important to ensure a representative sample size to achieve a low margin of error and thus more reliable results!