Answer:
For this sample, the estimated standard error is of 0.0277
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
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
Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism.
This means that
For this sample, the estimated standard error is
For this sample, the estimated standard error is of 0.0277