The troposphere contains 90% of the ozone in the atmosphere.

Yes that is true because The troposphere is the atmospheric layer closest to the planet and contains the largest percentage (around 80%) of the mass of the total atmosphere. Temperature and water vapor content in the troposphere decrease rapidly with altitude. Water vapor plays a major role in regulating air temperature because it absorbs solar energy and thermal radiation from the planet's surface. The troposphere contains 99 % of the water vapor in the atmosphere. Water vapor concentrations vary with latitude. They are greatest above the tropics, where they may be as high as 3 %, and decrease toward the polar regions.

This statement is false!

Around 90% of all the ozone contained in the atmosphere is accumulated in the stratosphere - this area is also called the ozone layer due to the high concentration of ozone.

Troposphere is below the stratosphere, and it's the one that's closest to the earth.