Sample Sizes and Margin of Sample Error Quiz

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Questions and Answers

What is the purpose of using a confidence interval?

  • To estimate the maximum possible error in a survey
  • To define a range that captures a certain percentage of responses (correct)
  • To determine the number of respondents needed for a survey
  • To calculate the exact proportion of respondents with a particular opinion

What statistical concept allows the use of the normal distribution for calculating confidence intervals?

  • Central limit theorem (correct)
  • Bayesian inference
  • Maximum likelihood estimation
  • Law of large numbers

Which of the following scenarios would have the least variability in responses?

  • When 0% of respondents answer 'yes'
  • When 100% of respondents answer 'yes' (correct)
  • When 50% of respondents answer 'yes' and 50% answer 'no'
  • When the percentage of 'yes' responses is unknown

What is the relationship between the percentage of 'yes' responses and the variability of responses?

<p>Variability is highest when the percentage of 'yes' responses is 50% (C)</p> Signup and view all the answers

Which formula is typically used to calculate the margin of error in a survey?

<p>Sample error formula (B)</p> Signup and view all the answers

What does a researcher mean when they say, 'I found that 50% of the sample intends to order Domino's the next time'?

<p>The true percentage in the population is within a confidence interval around 50% (C)</p> Signup and view all the answers

Which of the following factors would increase the margin of error in a survey?

<p>Increasing the variability in responses (A)</p> Signup and view all the answers

What is the purpose of the sample size formula in survey research?

<p>To determine the number of respondents needed to achieve a desired margin of error (D)</p> Signup and view all the answers

Which of the following statements about variability estimation is true?

<p>Variability is a measure of how spread out the responses are (B)</p> Signup and view all the answers

What is a practical consideration when determining the sample size for a survey?

<p>The cost and time required to collect data from a larger sample (B)</p> Signup and view all the answers

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