How many tests do I need to run? My hypothesis is that the wording of a particular yes-no question affects whether people will answer "Yes" or "No", such that Wording 1 is more likely to be answered "Yes" than "No", and Wording 2 is more likely to be answered "No" than "Yes".
Here are the results of a survey:





Yes
No




Wording 1
70
30


Wording 2
20
80




What test(s) should I run to analyse these results? It seems to me that I could run a binomial test for each of the wordings to determine whether the results for that wording are likely to have occurred by chance. But do I need to use a further test (perhaps chi-squared) to determine whether there's a significant difference between the results for Wording 1 and the results for Wording 2? If not, I'm struggling to see how I can attribute the difference between the results to the difference between the wordings.

It's best to show the outcome of testing Wording and Answer for independence. A Chi-squared test would probably work well for that. The 70/30/20/80 contingency table shown in the question will end up with a tiny p-value, so it will be safe to say the variables are not independent.
Follow that up with something like an odds ratio to show just how more likely Wording 2 is to get a "No" than Wording 1 (or in the other direction, how much more likely Wording 1 is to get a "Yes" than Wording 2).
