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Hi, can you help me answer this question please, thank you!

Hi, can you help me answer this question please, thank you!-example-1

1 Answer

1 vote

The given confidence interval is 70.4% < p < 80.2%.

Express the percentages as decimals


0.704<p>Find the midpoint of the interval, which is the mean between the limits.</p>[tex]p=(0.704+0.802)/(2)=(1.506)/(2)=0.753

Then, subtract the end of the interval with the mean value.


E=0.802-0.753=0.049

The error is 0.049, or 4.9%.

Once you have the error E, we can express the interval.


\begin{gathered} p\pm ME\to75.3\pm4.9 \\ \end{gathered}

Therefore, the interval is


75.3\pm4.9_{}

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