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Sample Sizes and Margin of Sample Error Quiz

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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?

Variability is highest when the percentage of 'yes' responses is 50% Signup and view all the answers

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

Sample error formula 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'?

The true percentage in the population is within a confidence interval around 50% Signup and view all the answers

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

Increasing the variability in responses Signup and view all the answers

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

To determine the number of respondents needed to achieve a desired margin of error Signup and view all the answers

Which of the following statements about variability estimation is true?

Variability is a measure of how spread out the responses are Signup and view all the answers

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

The cost and time required to collect data from a larger sample Signup and view all the answers