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Use the given confidence interval to find the margin of error and the (0.637,0.667) E=◻ (Type an integer or a decimal.)

Use the given confidence interval to find the margin of error and the (0.637,0.667) (0.637,0.667) \newlineE=□ E=\square (Type an integer or a decimal.)

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Full solution

Q. Use the given confidence interval to find the margin of error and the (0.637,0.667) (0.637,0.667) \newlineE=□ E=\square (Type an integer or a decimal.)
  1. Concept of Confidence Interval: Understand the concept of a confidence interval and margin of error. A confidence interval gives a range of values for a parameter (like a population mean) and is calculated as the estimated value plus or minus the margin of error. The margin of error EE is half the width of the confidence interval.
  2. Calculate Interval Width: Calculate the width of the confidence interval.\newlineThe width of the confidence interval is the difference between the upper bound and the lower bound.\newlineWidth =Upper bound−Lower bound= \text{Upper bound} - \text{Lower bound}\newlineWidth =0.667−0.637= 0.667 - 0.637\newlineWidth =0.030= 0.030
  3. Calculate Margin of Error: Calculate the margin of error ( extit{E}).\newlineThe margin of error is half the width of the confidence interval.\newlineE=Width2E = \frac{\text{Width}}{2}\newlineE=0.0302E = \frac{0.030}{2}\newlineE=0.015E = 0.015

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