Question

1,992 registered voters were ask "Based on what you know, do you believe the United States is winning or losing the War in Afghanistan?" 23% responded we are winning. 38% responded we are losing. 39% responded Don’t Know/No Opinion. The reported margin of error was +/-2%.

What is the upper bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War?

Enter your answer as a percentage rounded to the nearest tenth of a percent.

Answer 1

The upper bound of the 95% confidence interval for the percentage of voters believing the U.S. is losing the War in Afghanistan is 40%, calculated by adding the 2% margin of error to the 38% of respondents who believe the U.S. is losing.

Step-by-step explanation:

The question asks to calculate the upper bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War in Afghanistan, with a given margin of error of ±2%. Given that 38% of respondents believe the U.S. is losing the war, the upper bound would be 38% plus the margin of error.

To calculate the upper bound:

1. Take the percentage of voters who responded 'losing,' which is 38%.
2. Add the margin of error, which is 2%, to the percentage.

Therefore, the upper bound is 40%.

This means that with 95% confidence, the percentage of voters that believe the United States is losing the War in Afghanistan could be as high as 40%.