Respuesta :
The standard error of proportion is +/- 1.15.The number of people who are satisfied with the policy is between 18.85% and 21.15%
Answer with explanation:
Sample Size = 1200
it is also given that 80% of the respondents were not satisfied with the policy,Means 20% of the respondents were satisfied with the policy.
80% of 1200=960
20% of 1200 =240
Standard error of the proportion
[tex]=\sqrt\frac{P\times(1-P)}{N}}\\\\=\sqrt{\frac{\frac{960}{1200} \times \frac{240}{1200}}{1200}}\\\\=\sqrt{\frac{\frac{1}{5}\times\frac{4}{5}}{1200}}\\\\=\sqrt{\frac{1}{7500}}\\\\=\sqrt{0.000134}\\\\=0.0115758[/tex]
= 0.0115 (Approx)
=0.0115×100
=1.15%
→→20% of the respondents are satisfied with the policy.
So, the number of people who are satisfied with the policy is between 20-1.15=18.85% and 20+1.15=21.15% that is (18.85%,21.15%).