What you found in (g) and (i) will be called a “95% confidence interval” as it was derived using the 1 −0.95 = 0.05 cut-off value/significance level. And what you found in (h) would be a 99% confidence interval. (So 99% is the level of confidence.)
With more decimal places, you should have found the first 95% confidence interval to be (0.557, 0.727).
You could interpret the interval by saying you are 95% confident that the probability a kissing couple leans to the right is between 0.557 and 0.727, meaning that we are 95% confident that, in the long-run, between 55.7% and 72.7% of kissing couples lean right.
Different software packages will calculate confidence intervals differently, but if the sample size is large, you shouldn't see too much difference between the methods.
More important than the choice of methods is how to interpret the intervals and their properties.