Is there a specific structure we must use when interpreting our interval
Yes, here is generic structure for how to do it, but also remember to include units and context. Both are very important.
I am _____% confident that the true _______ (mean/proportion and context) is between _______ and _______ (units).
Here is an example of one:
I am 95% confident that the true proportion of men who shave every day is between 0.42 and 0.58.
I am 90% confident that the true mean of the weight of household cats is between 9 pounds and 20 pounds.