Let us see about proper sample size. Normally, the statistical sample size is the part of the population that makes possible us to examine the inferences about population. Collecting explore of the absolute information about the population is not convincing and it is time prevailing and relaxed. So, we require a suitable sample size so that we are clever to produce inferences about the population depends on that sample size.
Formula for the Proper Sample Size:
Let us see the formula for the proper sample size. The following formula is helped to find the proper sample size.
n = '(N / (1+N(e)^2))'
Where,
n defines sample size.
N defines the population size.
e describes the margin of error.
Examples of Proper Sample Size:
Let us see some examples of proper sample size.
Example 1:
Determine the proper sample size. Where the population size is 35% and the margin error is 0.5.
Solution:
The given population size = 0.35.
The given margin error = 0.5.
The formula for the proper sample size = '(N / (1+N(e)^2)).'
= '0.35/ (1+ 0.35 * (0.5)^2).'
= 0.322.
This is the proper sample size.
Example 2:
Determine the proper sample size. Where the population size is 37% and the margin error is 0.8.
Solution:
The given population size = 0.37.
The given margin error = 0.8.
The formula for the proper sample size = '(N / (1+N(e)^2)).'
= '0.37/ (1+ 0.37 * (0.8)^2)' .
= 0.299.
This is the proper sample size.
Example 3:
Determine the proper sample size. Where the population size is 32% and the margin error is 0.4.
Solution:
The given population size = 0.32.
The given margin error = 0.4.
The formula for the proper sample size = '(N / (1+N(e)^2)).'
= '0.32/ (1+ 0.32 * (0.4)^2).'
= 0.3044.
This is the proper sample size.
Example 4:
Determine the proper sample size. Where the population size is 33% and the margin error is 0.3.
Solution:
The given population size = 0.33.
The given margin error = 0.3.
The formula for the proper sample size = '(N / (1+N(e)^2)).'