6. (2 points) A manufacturer of interocular lenses is qualifying a new grinding

Question

6. (2 points) 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 2%. A random sample of 250 lenses contains six defective lenses. Determine if the machine can be qualified with a confidence interval. Use = 0.05.

6. (2 points) A manufacturer of interocular lenses is qualifying a new grinding machine and will qualify the machine if there is evidence thatthe percentage of polished lenses that contain surface defects does not exceed 2%. A random sample of 250 lenses contains six defective lenses. Determine ifthe machine can be qualified with a confidence interval. Use a 0.05.

Explanation / Answer

answer

Formulation:
Null hypothesis H0 < or equal 2%
Alternative Ha > 2%
Sample proportion = 6/250 = 0,024
z = (0,024-0,02)/sqrt((0,02*0,98)/250) = 0,451753951

Just by looking at the z value I wouldn't reject H0. But for your papers you must conclude it properly.

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