A certain cancer screening is able to detect existing cancer with a probability of 97%. A new method is developed, and in a study it is able to detect cancer in 1952 of 2000 cases. Test with...

A certain cancer screening is able to detect existing cancer with a probability of 97%. A new method is developed, and in a study it is able to detect cancer in 1952 of 2000 cases. Test with significance : Can the claim be made that the new method is better?