An eye surgeon has developed a new technique for an operation to restore the sight of people blinded by a certain disease. Under the old method, only 30% of patients who undergo this operation recover their eyesight. Suppose that surgeons in various hospitals have performed a total of 225 operations using the new method and 78 have been successful (that is, the patients fully recovered their eyesight).

Test the claim at the 0.01 level of significance the new method has a higher success rate than the old method. Give all components of the hypothesis test and identify the procedure used.