Question

Use the following information to answer the next two questions.

Please refer to question 9-90. 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. Formulate and test an appropriate set of hypotheses to determine if the machine can be qualified. Use α = 0.05. What is your alternative hypothesis?

		p is equal to 0.02
		p is greater than 0.02
		p is less than 0.02
		p is not equal to 0.02

What is the p (the true population parameter) and your conclusion from the previous question?

		Reject the null, p is less than 0.02 at alpha = 0.05
		Reject the null, p is not less than 0.02 at alpha = 0.05
		Fail to reject the null, p is not less than 0.02 at alpha = 0.05
		Fail to reject the null, p is less than 0.02 at alpha = 0.05

Answer 1

a) We need to test if p is not exceeding 2% so alternative hypothesis will be:

p is greater than 0.02

Option B is correct.

b) Fail to reject the null, p is not less than 0.02 at alpha = 0.05

Option C is correct.