Difference between quantitative and qualitative risk analysis?

In my experience I have used qualitative and quantitative analysis. Although the qualitative is objective, I always do it mainly because of the characteristic of our country, which has suffered volcanic eruptions, earthquakes, wars and social outbreaks, floods due to rain and hurricanes.
Quantitative I do it because we are always affected by the failure to meet the deadlines with suppliers, and then by nature.
Last year I had the experience of change of supplier preferred by the organization, with a track record of many years of relationship in infrastructure works of networks and servers. The change was not good, because we expected excellence from the new provider. The costs increased.
I agree with Sante Vergini.