Answer
The suffix -ity in the word means the state or condition of being sensitive.
Explanation:
The suffix -ity is used to form abstract nouns from adjectives. In the case of "sensitivity", the original adjective was "sensitive". Thus, the suffix -ity in the word means the state or condition of being sensitive. In the specific sentence we are analyzing here, the crowd is showing empathy and responsiveness to what happened to the player by clapping as he limps off the field. They are, thus, displaying sensitivity.
