Question

A random sample of likely voters showed that 25% planned to vote for Candidate A with a margin of error of 2% points and with 95% confidence.

Which of the following statements best describes the confidence interval for the percentage of voters who plan to vote for Candidate A.
A. l am 95% confident that the population percentage of voters supporting Candidate A is between 23% and 29%.
B. I am 95% confident that the population percentage of voters not supporting Candidate A is between 23% and 27%.
C. Iam 95% confident that the population percentage of voters supporting Candidate A is between 43% and 27%.
D. Iam 95% confident that the population percentage of voters supporting Candidate A is between 21% and 29%

Answer 1

The correct answer is option A. We are 95% confident that the population percentage of voters supporting Candidate A is between 23% and 27%.

Step-by-step explanation:

The correct answer is option A.

In this question, we are given that a random sample of likely voters showed that 25% planned to vote for Candidate A, with a margin of error of 2% points and with 95% confidence.

A confidence interval is a range of values within which the true population parameter is likely to fall. In this case, we are interested in estimating the percentage of voters who plan to vote for Candidate A.

To calculate the confidence interval, we need to subtract and add the margin of error from the sample percentage. So, the lower bound is 25% - 2% = 23%, and the upper bound is 25% + 2% = 27%.

Therefore, we can say that we are 95% confident that the population percentage of voters supporting Candidate A is between 23% and 27%. Option A best describes the confidence interval for the percentage of voters who plan to vote for Candidate A.