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.

(a) A manufacturer of interocular lenses is evaluating 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%.

Formulate and test an appropriate set of hypotheses to determine if there is evidence that the percentage of polished lenses is less than 2%. Use = 0.05. What is your alternative hypothesis?

	a.	p 0.02
	b.	p > 0.02
	c.	p = 0.02
	d.	p < 0.02

(b) A random sample of 250 lenses contains 6 defective lenses. What is your conclusion about the hypothesis test from the previous question regarding the value of p (the true population parameter) at = 0.05?

	a.	Reject the null hypothesis, which means you conclude the population proportion p is not less than 0.02.
	b.	Fail to reject the null hypothesis, which means you conclude the population proportion p is not less than 0.02
	c.	Reject the null hypothesis, which means you conclude that the population proportion p is less than 0.02.
	d.	Fail to reject the null hypothesis, which means you conclude that the population proportion p is less than 0.02.