Your question is Landing Page Conversion Test Design. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
You are testing a new landing page for a digital product and want to know whether it improves conversion versus the current page. The change could increase top-of-funnel signups, but you also want to make sure the result is real and not driven by noisy traffic patterns or measurement issues.
How would you design an A/B test for this new landing page, and how would you determine whether the results are statistically significant enough to launch?