Answer:
a) Mean 0.11 and standard deviation 0.0044.
b) Mean 0.11 and standard deviation 0.0099.
c) Mean 0.11 and standard deviation 0.0198
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
In this question:
a. For a random sample of size n equals 5000.
Mean:
Standard deviation:
Mean 0.11 and standard deviation 0.0044.
b. For a random sample of size n equals 1000.
Mean:
Standard deviation:
Mean 0.11 and standard deviation 0.0099.
c. For a random sample of size n equals 250.
Mean:
Standard deviation:
Mean 0.11 and standard deviation 0.0198