There's still a while before the "family" becomes symptomatic.
As far as I know screening tests are worthless, one has to be ill for the test to be positive, and even then the initial test may be negative. The story states the individual is symptomatic with fever.
The health care worker reported a low-grade fever Friday night and was isolated, the health department said. The preliminary test result came in late Saturday.
This may not have been in the initial story, though.