Q
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Now assume a 95% confidence level. Without performing any calculations, complete the sentence below. The margin of error for a 95% confidence level will be ____________.
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Step 1
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Step 2
: Recall the standard margin of error formula

For a 95% confidence level, the margin of error is always $$\pm 1.96$$ standard deviations from the mean.

Final Answer

Key Insights: - The value 1.96 comes from the standard normal distribution (z-distribution) - This is a standard statistical convention for 95% confidence intervals - The \pm indicates the interval extends both above and below the point estimate - This means 95% of the data falls within this range around the sample statistic