A manufacturer of interocular lenses is qualifying a new grinding machine and will qualify the machine if the percentage of polished lenses that contain surface defects does not exceed 2%. A random sample of 250 lenses contains six defective lenses.
a) Formulate and test an appropriate set of hypotheses to determine if the machine can be qualified. Use a = 0.05.
b) Find the P-value for the test in part (a).