Answer :
If a set of data is highly precise, it generally "indicates that the data must have a high level of accuracy" although there can be other crucial factors affecting the data as well.
Actually, it indicates nothing about the accuracy of the data. Accuracy means how close the data values are to the correct value, while precision just means if your data values are very close to each other. Your data can be extremely precise, but it has nothing to do with how accurate it is.