What is the formula for sample size?

What is the formula for sample size?

n = N*X / (X + N – 1), where, X = Zα/22 *p*(1-p) / MOE2, and Zα/2 is the critical value of the Normal distribution at α/2 (e.g. for a confidence level of 95%, α is 0.05 and the critical value is 1.96), MOE is the margin of error, p is the sample proportion, and N is the population size.

What is the minimum sample size for at test?

10 Answers. There is no minimum sample size for the t test to be valid other than it be large enough to calculate the test statistic.

Is 30 the magic number issues in sample size estimation?

Hence, there is no such thing as a magic number when it comes to sample size calculations and arbitrary numbers such as 30 must not be considered as adequate.

How many participants do I need calculator?

All you have to do is take the number of respondents you need, divide by your expected response rate, and multiple by 100. For example, if you need 500 customers to respond to your survey and you know the response rate is 30%, you should invite about 1,666 people to your study (= 1,666).

Does a small sample size affect validity or reliability?

A small sample size also affects the reliability of a survey’s results because it leads to a higher variability, which may lead to bias. The most common case of bias is a result of non-response. Non-response occurs when some subjects do not have the opportunity to participate in the survey.

What are the problems with small sample size?

A sample size that is too small reduces the power of the study and increases the margin of error, which can render the study meaningless. Researchers may be compelled to limit the sampling size for economic and other reasons.

Why having a small sample size is bad?

Small samples are bad. If we pick a small sample, we run a greater risk of the small sample being unusual just by chance. Choosing 5 people to represent the entire U.S., even if they are chosen completely at random, will often result if a sample that is very unrepresentative of the population.

Why does the sample size have to be greater than 30?

As a general rule, sample sizes equal to or greater than 30 are deemed sufficient for the CLT to hold, meaning that the distribution of the sample means is fairly normally distributed. Therefore, the more samples one takes, the more the graphed results take the shape of a normal distribution.