Below are many interpretations of a confidence interval, but which is correct? What can we say from the ending results? Regardless of which page is "better," only one of these interpretations is possible from the results we obtain from a confidence interval.
We are 95% confident that if a user receives Page A they are more likely to click than if they receive Page B.
If a user receives Page A they are more likely to click than if they receive Page B.
We are 95% confident that the proportion of users that click through using Page A is higher than the average using Page B.
As a second check, try another interpretation question about whether a clinical drug works. Which of the below is a statement that you could make about the drug?
We are 95% confident the drug will work for all patients that try it.
There is a 95% chance that if an individual takes a drug it will work for them.
We are 95% confident that on average the drug will work for the members of this specific population.
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