I will disagree with the official answer because the question did not ask if the transaction was included in the backup file but rather asked if the data would exist after restore.

Because this is a full backup then the log must be restored as part of the complete database restore and the log has the transactions (no mention of point in time).

From the manual:

The full recovery model uses log backups to prevent data loss in the broadest range of failure scenarios, and backing and restoring the transaction log (log backups) is required.

So if the log was restored then all the data would be present.

IMHO -- Mark D Powell --