Answer: 0.05
Step-by-step explanation:
- Sampling error is the error occurs by considering sample for study instead of entire population.
Given : The proportion of items in a population that possess a specific attribute is known to be 0.45.
Sample size : n= 100
Sample proportion of items in a population that possess a specific attribute : [tex]\hat{p}=0.48[/tex]
Now, the formula to find the sampling error :
[tex]\text{Sampling error} =\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
[tex]\text{Sampling error} =\sqrt{\dfrac{0.48(1-0.48)}{100}}[/tex]
[tex]=\sqrt{\dfrac{0.48(0.52)}{100}}\\\\=\sqrt{0.002496}\approx0.05[/tex]
Hence, the sampling error =0.05
