If the 99% confidence interval is given by (0.40,0.52) , which of the following correctly interprets the margin of error?(1 point) Responses With 99% confidence, the population proportion is greater than 0.52. With 99% confidence, the population proportion is greater than 0.52. With 95% confidence, the sample proportion falls between 40% and 52%. With 95% confidence, the sample proportion falls between 40% and 52%. With 99% confidence, the sample proportion falls between 40% and 52%. With 99% confidence, the sample proportion falls between 40% and 52%. With 99% confidence, the population proportion is smaller than 0.40.
1 answer
The correct interpretation of the margin of error given the confidence interval (0.40, 0.52) is:
With 99% confidence, the population proportion falls between 0.40 and 0.52.
This means that based on the sample data, we are 99% confident that the true population proportion lies within this interval.
The other statements either incorrectly describe the relationship between the sample proportion and the confidence interval or misinterpret the meaning of confidence intervals altogether.
