I am trying to come up with a hypothesis test. Is the below realistic?

Given a sample mean (xbar) of 50 and a population deviation sigma of 3.0 from a previous study where n-30 values. Find the z and p values.

The data is of Wells Fargo. They state they are approving refinanced homes for African Americans at a high rate. The data show 47 approvals. Test the claim that u<47.

Z=(xbar-)/(/ sqrt n) where xbar=50, =47, population standard deviation sigma = 3.0 and n=30