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# Margin of Error and Confidence Interval in Research

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@VigilantDiscernment

### What is the primary advantage of stratified sampling?

It ensures the sample is representative of the population based on critical factors.

### In cluster sampling, what is the unit of sampling?

Naturally occurring groups of individuals

### What is a key advantage of cluster sampling?

It is administratively convenient and can save time and money.

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

<p>Simple random sampling</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.</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</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</p> Signup and view all the answers

### What does a 95% confidence level mean?

<p>The researcher is 95% certain the results are accurate</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</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</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</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>$k = N / n$</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>$k = 20$</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.</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.</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: $n = N / (1 + Ne^2)$</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.</p> Signup and view all the answers

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