Students at a certain college were asked if they have a car. After surveying 637 students, it was found that $29.1 \%$ of them have a car. The margin of error was $3.6 \%$ with a $95 \%$ confidence level.
What does this margin of error tell you about the percentage of students at that college who have a car?
We can be $95 \%$ confident that somewhere between $\%$ and $\%$ of the students at that college have a car.
\(\boxed{\text{Final Answer: We can be 95% confident that somewhere between 25.5% and 32.7% of the students at that college have a car.}}\)
Step 1 :Students at a certain college were asked if they have a car. After surveying 637 students, it was found that 29.1% of them have a car. The margin of error was 3.6% with a 95% confidence level.
Step 2 :The margin of error tells us the range within which the true population proportion lies with a certain level of confidence. In this case, the margin of error is 3.6% and the sample proportion is 29.1%.
Step 3 :This means that we can be 95% confident that the true population proportion lies between 29.1% - 3.6% and 29.1% + 3.6%.
Step 4 :Calculating the lower and upper bounds, we get 25.5% and 32.7% respectively.
Step 5 :\(\boxed{\text{Final Answer: We can be 95% confident that somewhere between 25.5% and 32.7% of the students at that college have a car.}}\)