Margin of Error and Confidence Interval in Research

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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?

Simple random sampling Signup and view all the answers

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

It is unknown and cannot be estimated. Signup and view all the answers

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

To determine the required sample size Signup and view all the answers

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

To indicate the level of uncertainty in the sample Signup and view all the answers

What does a 95% confidence level mean?

The researcher is 95% certain the results are accurate Signup and view all the answers

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

As e increases, n decreases Signup and view all the answers

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

To estimate the required sample size for a given population 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?

400 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?

$k = N / n$ 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?

$k = 20$ Signup and view all the answers

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

The number of units drawn from each stratum is proportionate to the size of the stratum in the population. Signup and view all the answers

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

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. 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?

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

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

To randomly select the first unit in a systematic random sampling process. Signup and view all the answers

Margin of Error and Confidence Interval in Research

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