what is the formula for margin of error?

$me = \frac{z \cdot \sqrt{s}}{\sqrt{n}}$

$me = \frac{z \cdot \sqrt{s}}{n}$

$me = \frac{z \cdot s}{\sqrt{n}}$

$me = \frac{z \cdot s}{n}$

Question

what is the formula for margin of error?

$me = \frac{z \cdot \sqrt{s}}{\sqrt{n}}$

$me = \frac{z \cdot \sqrt{s}}{n}$

$me = \frac{z \cdot s}{\sqrt{n}}$

$me = \frac{z \cdot s}{n}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Margin of Error Calculation" ], "new_concepts": [], "current_concepts": [ "Margin of Error Calculation" ] } ## Identify the components of margin of error Using the *Margin of Error Calculation* knowledge point $$ \begin{aligned} &\text{Critical value: } z^* \ &\text{Sample standard deviation: } s \ &\text{Sample size: } n \ &\text{Standard error of the mean: } \text{SE} = \frac{s}{\sqrt{n}} \end{aligned} $$ ## Formulate the margin of error equation Using the *Margin of Error Calculation* knowledge point $$ \text{ME} = z^* \cdot \text{SE} = \frac{z^* \cdot s}{\sqrt{n}} $$

(A) $\text{ME} = \frac{z^* \cdot \sqrt{s}}{\sqrt{n}}$

(B) $\text{ME} = \frac{z^* \cdot \sqrt{s}}{n}$

(C) $\text{ME} = \frac{z^* \cdot s}{\sqrt{n}}$

(D) $\text{ME} = \frac{z^* \cdot s}{n}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Margin of Error Calculation" ] }

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Identify the components of margin of error

Formulate the margin of error equation

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