If you have a solution you estimate to have 90% effectiveness and you see that the plan of your team has only 80%, you should let them execute their plan instead of yours. When you do so, you don’t need to convince them of anything because it’s their idea and they will be fully committed to bringing it to life.
The commitment alone would make up for the 10% effectiveness. If, say, your team’s plan has 50% effectiveness, you should guide and bring it up to 70–80% while ensuring it’s still their plan. Of course, if the planning process gets bogged down or the team can’t agree on a course of action, you might need to step in and provide guidance.
Otherwise, take a step back and let your team lead.