Hashtables are accessible in O(1) while a sorted List is accessible in O(log n).
I'll also provide an answer in the comparison of a Dictionary vs HashTable. while a Dictionary is conceptually a hash table, they have some significant differences.
You would want to use Dictionary<TKey, TValue> class instead of the Hashtable class beacuse the Dictionary<TKey, TValue> is a generic type where as a Hashtable is not. So, you actually get type safety using the Dictionary<TKey, TValue>, because you can't insert any random object into it, and you don't have to cast the values you take out.
One extra note, the Dictionary<TKey, TValue> implementation in .NET Framework is actually based on a Hashtable. you can validate this by taking a look at the HashTable implementation - https://referencesource.microsoft.com/#mscorlib/system/collections/hashtable.cs