Answer:
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.
Answer:
The money they will have to pay is <u>$861</u>.
Step-by-step explanation:
Given:
The swim team has 41 people on their team.
They need new swim gear the swim caps cost $5 and the swim suit cost $16.
Now, to find the money they will have to pay.
Number of people on the swim team = 41.
Cost of swim caps = $5.
Cost of swim suit = $16.
Now, to get the total money they will have to pay:
<u><em>Number of people on the swim team× (cost of swim caps + cost of swim suit)</em></u>



Therefore, the money they will have to pay is $861.
First you would take 20% off the orignal price giving you 30.4$ after that you take 10% of 30.4 to get 27.36$.
The sign only changes when divided or multiplied by a negative number.