Margin of Error and Confidence Interval in Research

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Questions and Answers

What is the primary advantage of stratified sampling?

  • It ensures the sample is representative of the population based on critical factors. (correct)
  • It is less expensive than other sampling methods.
  • It allows for a smaller sample size to be used.
  • It eliminates the need for a sampling frame.

In cluster sampling, what is the unit of sampling?

  • Individual elements
  • Random subsets of the population
  • Strata based on specific factors
  • Naturally occurring groups of individuals (correct)

What is a key advantage of cluster sampling?

  • It is administratively convenient and can save time and money. (correct)
  • It eliminates the need for a sampling frame.
  • It allows for the use of a smaller sample size.
  • It ensures a representative sample.

Which of the following is NOT a form of non-probability sampling?

<p>Simple random sampling (C)</p> Signup and view all the answers

In non-probability sampling, what is true about the probability of each element being included in the sample?

<p>It is unknown and cannot be estimated. (A)</p> Signup and view all the answers

What is the primary purpose of using Slovin's formula in sampling?

<p>To determine the required sample size (D)</p> Signup and view all the answers

What is the purpose of the margin of error in research?

<p>To indicate the level of uncertainty in the sample (A)</p> Signup and view all the answers

What does a 95% confidence level mean?

<p>The researcher is 95% certain the results are accurate (A)</p> Signup and view all the answers

According to Slovin's formula, how does the margin of error (e) affect the sample size (n)?

<p>As e increases, n decreases (D)</p> Signup and view all the answers

What is the purpose of Slovin's formula in research?

<p>To estimate the required sample size for a given population (B)</p> Signup and view all the answers

If a population (N) is 10,000 and the desired margin of error (e) is 3%, what is the minimum required sample size (n) using Slovin's formula?

<p>400 (D)</p> Signup and view all the answers

What is the formula used to determine the interval to be used in identifying the samples who will participate in a systematic random sampling study?

<p>$k = N / n$ (B)</p> Signup and view all the answers

In the example provided, if the total population size is 1000 students and the target sample size is 50 students, what is the interval $k$ to be used in the systematic random sampling?

<p>$k = 20$ (D)</p> Signup and view all the answers

In stratified random sampling, how is the number of units drawn from each stratum determined?

<p>The number of units drawn from each stratum is proportionate to the size of the stratum in the population. (A)</p> Signup and view all the answers

Which of the following is a key difference between simple random sampling and systematic random sampling?

<p>In simple random sampling, each member of the population has an equal chance of being selected, while in systematic random sampling, the selection is based on a fixed interval. (A)</p> Signup and view all the answers

Which formula can be used to calculate the sample size for a given population size and desired margin of error?

<p>Slovin's formula: $n = N / (1 + Ne^2)$ (C)</p> Signup and view all the answers

In the context of the provided text, what is the purpose of using the lottery technique in sampling?

<p>To randomly select the first unit in a systematic random sampling process. (B)</p> Signup and view all the answers

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