Doctors Nationally Believe That $70 \%$ Of a Certain Type of Operation Are Successful

Multiple Choice

Doctors nationally believe that $70 \%$ of a certain type of operation are successful. In a particular hospital, 42 of these operations were observed and 32 of them were successful. At $\alpha = 0.05$ is this hospital's success rate different from the national average?

A) No, because the test value 0.88 is in the noncritical region.
B) Yes, because the test value 0.88 is in the noncritical region.
C) No, because the test value 0.52 is in the noncritical region.
D) Yes, because the test value 0.52 is in the critical region.