A manufacturer of interocular lenses is qualifying a new grinding machine and will qualify the machine if there is evidence that the percentage of polished lenses that contain surface defects does not exceed 3%. A random sample of 300 lenses contains 8 defective lenses. Use α = 0.01. Suppose that the percentage of defective lenses is actually 2%. What is the β-error for this test? Suppose that a β-error of 0.05 is acceptable if the true percentage is 2%. What is the required sample size?

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