Question

A random sample of likely voters showed that 20% planned to vote for Candidate A, with a margin of error of 2% points and with 99% confidence. Which of the following statements best describes the confidence interval for the percentage of voters who plan to vote for Candidate A

- I am 99% confident that the population percentage of voters supporting Candidate A is between 16% and 24%
- I am 99% confident that the population percentage of voters supporting Candidate A is between 18% and 22%
- I am 99% confident that the population percentage of voters not supporting Candidate A is between 18% and 1822% D
- I am 99% confident that the population percentage of voters supporting Candidate A is between 18% and 24%

Answer 1

The correct statement regarding the confidence interval is that with 99% confidence, the percentage of voters for Candidate A is between 18% and 22%.

Step-by-step explanation:

The correct statement best describing the confidence interval for the percentage of voters who plan to vote for Candidate A is: "I am 99% confident that the population percentage of voters supporting Candidate A is between 18% and 22%." This is because we are told that the margin of error is 2 percentage points. Therefore, to obtain the confidence interval, we add and subtract the margin of error from the sample proportion of 20% (20% ± 2%), giving us 18% to 22%.