Indeed there is. Even in the few minutes surrounding a survey, people will be born, and others will die. Similarly for many of the parameters in a question.
The larger the sample size, the smaller the margin of error.
n=N/1+Ne2 sample size= population size/ 1+ population size* (error margin)2
yes
The margin of error decreases as the sample size ( n ) increases because a larger sample provides more information about the population, leading to more accurate estimates of population parameters. This increased accuracy reduces the variability of the results, thereby narrowing the confidence interval. Mathematically, the margin of error is inversely proportional to the square root of the sample size, meaning that as ( n ) increases, the margin of error decreases. In essence, larger samples yield more reliable data, resulting in a smaller margin of error.
he was the one who introduced the slovin's formula, the estimated sample size given the population size and margin of error
The margin of error is reduced.
Increase sample size.
1.0966
Slovin's formula is used to determine the sample size needed for a population when you want to achieve a certain level of precision. The formula is: ( n = \frac{N}{1 + N(e^2)} ), where ( n ) is the sample size, ( N ) is the total population size, and ( e ) is the margin of error (expressed as a decimal). To use it, first define your population size and desired margin of error, then substitute these values into the formula to calculate the sample size. This approach helps ensure that your sample is representative of the larger population while minimizing sampling error.
The margin of error in political science refers to the range within which survey results are likely to reflect the true population value. It quantifies the amount of uncertainty in a survey sample and is typically expressed as a plus or minus value around the reported percentage. A smaller margin of error indicates a more accurate estimate of the population parameter.
Slovin's formula is a mathematical formula used to determine the sample size needed for a survey or study. It takes into account the population size, desired level of confidence, and margin of error to calculate the appropriate sample size for a given study. It is commonly used in statistics and research to ensure accurate and reliable results.
With probability sampling you have no control over the units that are sampled. So the only way to reduce the margin of error is to increase the size of the sample.