What would be some problems with this definition of a confidence coefficient?

"A confidence coefficient, or confidence level, is a measure of the accuracy and repeatability of a statistical test. Researchers often decide how confident they need to be in their results and set the confidence level accordingly. Together with margin of error, a confidence coefficient defines the expected results of subsequent tests. For example, say the results of a political poll have a 95% confidence coefficient with a 5% margin of error. If that poll were performed 100 more times, 95 of those times the results would fall within the margin of error. The confidence coefficient can be thought of as the percentage of confidence in a finding. In other words, how confident the researcher is in the results."