If $\mathrm{n}=600$ and $\hat{\mathrm{p}}$ ( $\mathrm{p}$-hat) $=0.8$, find the margin of error at a $90 \%$ confidence level Give your answer to three decimals

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Answer

Margin of Error ≈ 0.0269

Steps

Step 1 ：Margin of Error = Z * (sqrt((p-hat * (1-p-hat))/n))

Step 2 ：Z = 1.645 (for a 90% confidence level)

Step 3 ：p-hat = 0.8

Step 4 ：n = 600

Step 5 ：Margin of Error = 1.645 * (sqrt((0.8 * (1-0.8))/600))

Step 6 ：Margin of Error = 1.645 * (sqrt(0.16/600))

Step 7 ：Margin of Error = 1.645 * (sqrt(0.0002667))

Step 8 ：Margin of Error = 1.645 * 0.01633

Step 9 ：Margin of Error ≈ 0.0269