Sample Size and Margin of Error Calculation
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This example demonstrates how to calculate the required sample size given a margin of error (ME) and how to determine the margin of error given a sample size. It involves core mathematical concepts such as standard deviation, statistical inference, confidence intervals, and the normal distribution. The construction summary utilizes GeoGebra commands and objects like InverseNormal (inverse normal distribution function), Textfield (text input field), Text (text label), and Segment (line segment). Suitable for high school and above students in probability & statistics and data analysis education.
GeoGebra Commands & Parameters
InverseNormal(0, 1, (CI + (100 - CI) / 2) / 100) → z_1Textfield(size) → SampSizText(z_1) → text2Text(sigwcase) → text4Text(ME) → text5Text(pLowME) → text8Text(pHiME) → text9Segment(A, B) → fTextfield(MEgiven) → MEgivText(WcaseN) → text13Text(pHatN) → text15Textfield(zz_1) → zz