Margin of Error and Confidence Intervals (Leaving Cert Mathematics): Quizzes

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Margin of Error and Confidence Intervals
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What is the term for the large group of people we want to learn about in research?

Population

What is the typical sample size used in opinion polls before elections?

Around 1000 people

What does the sample proportion p^\hat{p} represent?

Fraction of sample with characteristic

What is the population proportion pp?

True fraction in entire population

What does the margin of error tell us?

How much sample may differ from truth

What is the formula for margin of error EE?

E=1nE = \frac{1}{\sqrt{n}}

What is the margin of error for a sample size of 400?

0.05 or 5%

What sample size is needed for a margin of error of 0.025?

1600

To halve the margin of error, how must the sample size change?

Quadruple it

If p^=0.34\hat{p} = 0.34 and E=0.05E = 0.05, what is the lower bound of the confidence interval?

0.29

What does a 95% confidence level mean?

Method works correctly 95% of time

For n=500n=500 and 80 with pets, what is the 95% confidence interval (approximately)?

0.115 to 0.205

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