In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confidence interval used to estimate the population proportion.

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the z-score that has a p-value of .

The margin of error is of:

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that

95% confidence level

So , z is the value of Z that has a p-value of , so .

Margin of error:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.