Given Information:
Population proportion = p = 0.55
Sample size 1 = n₁ = 30
Sample size 2 = n₂ = 100
Sample size 3 = n₃ = 1000
Required Information:
Standard error = σ = ?
Answer:
Step-by-step explanation:
The standard error for sample proportions from a population is given by
Where p is the population proportion and n is the sample size.
For sample size n₁ = 30
For sample size n₂ = 100
For sample size n₃ = 1000
As you can notice, the standard error decreases as the sample size increases.
Therefore, the greater the sample size lesser will be the standard error.