Is 10 of a population a good sample size?

The 10\% condition states that sample sizes should be no more than 10\% of the population. Whenever samples are involved in statistics, check the condition to ensure you have sound results. Some statisticians argue that a 5\% condition is better than 10\% if you want to use a standard normal model.

How could you justify the sample size of your research?

In this overview article six approaches are discussed to justify the sample size in a quantitative empirical study: 1) collecting data from (an)almost) the entire population, 2) choosing a sample size based on resource constraints, 3) performing an a-priori power analysis, 4) planning for a desired accuracy, 5) using …

How do you determine a sample size from a population?

How to Find a Sample Size Given a Confidence Level and Width (unknown population standard deviation)

1. za/2: Divide the confidence level by two, and look that area up in the z-table: .95 / 2 = 0.475.
2. E (margin of error): Divide the given width by 2. 6\% / 2.
3. : use the given percentage. 41\% = 0.41.
4. : subtract. from 1.

How do you determine a sample size for a survey?

How to Calculate Sample Size

1. Determine the population size (if known).
2. Determine the confidence interval.
3. Determine the confidence level.
4. Determine the standard deviation (a standard deviation of 0.5 is a safe choice where the figure is unknown)
5. Convert the confidence level into a Z-Score.

Why do we use the 10\% condition?

The 10\% Condition says that our sample size should be less than or equal to 10\% of the population size in order to safely make the assumption that a set of Bernoulli trials is independent. For example, we’d prefer that our sample size is only 5\% of the population compared to 10\%.

Why is it important to check the 10 condition before calculating probabilities involving?

Why is it important to check the 10\% condition before calculating probabilities involving x̄? To ensure that x̄ will be an unbiased estimator of μ.

What is a good sample size?

A good maximum sample size is usually 10\% as long as it does not exceed 1000. A good maximum sample size is usually around 10\% of the population, as long as this does not exceed 1000. For example, in a population of 5000, 10\% would be 500.

How do you justify sample size in qualitative research?

In making a justification for an adopted sample size, qualitative researchers should make reference to the scope of the study and nature of the topic (Morse, 2000), the contact time to be spent on each individual research participant (respondent) (Marshall et al., 2013) and the homogeneity of the population under …

How do you choose a sampling method?

We could choose a sampling method based on whether we want to account for sampling bias; a random sampling method is often preferred over a non-random method for this reason. Random sampling examples include: simple, systematic, stratified, and cluster sampling.

Why 30 is a good sample size?

The answer to this is that an appropriate sample size is required for validity. If the sample size it too small, it will not yield valid results. An appropriate sample size can produce accuracy of results. If we are using three independent variables, then a clear rule would be to have a minimum sample size of 30.

How do you calculate 10 conditions?

If our classroom size is 20 and our trials were independent (e.g. we could take repeated samples of all 20 students), then the probability that each student would prefer football over basketball could be calculated as: P(All 4 students prefer football) = 10/20 * 10/20 * 10/20 * 10/20 = . 0625.

What is a good sample size for a population survey?

If your population is less than 100 then you really need to survey all of them. A good maximum sample size is usually around 10\% of the population, as long as this does not exceed 1000. For example, in a population of 5000, 10\% would be 500. In a population of 200,000, 10\% would be 20,000.

What is the maximum sample size for a research study?

A good maximum sample size is usually around 10\% of the population, as long as this does not exceed 1000. For example, in a population of 5000, 10\% would be 500. In a population of 200,000, 10\% would be 20,000. This exceeds 1000, so in this case the maximum would be 1000.

Why is sample size justification important?

Sample size justification is as important as the sample size calculation. If the sample size cannot be accurately justified, the researcher will not be able to make a valid inference. Statistics Solutions can assist with determining the sample size / power analysis for your research study.

What should I do if my sample size is too large?

If you find your sample size is too large to handle, try slightly decreasing your confidence level or increasing your margin of error – this will increase the chance for error in your sampling, but it can greatly decrease the number of responses you need.