Question

1. Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing intraocular lenses used in the human eye following cataract surgery. Three hundred lenses were tumble-polished using the first polishing solution and of this number, 253 had no polishing-induced defects. Another three hundred lenses were tumble-polished using second polishing solution, and 196 lenses were satisfactory upon completion. We need to test if there is any reason to believe that the two polishing solutions differ.

1. a. What is the type of statistical test procedure that should be used to test the hypotheses? Explain.

1. b. Construct a 95% confidence interval. Test the hypotheses using the confidence interval. Interpret the test result clearly.

1. c. Test the hypotheses using the Test Statistic / Critical Value method (you must clearly indicate the test statistic, and the critical value(s) use Take α=5%). Do you get the same answer as part (c)? If your answer is the same as (c), you do not have to interpret again. Otherwise, interpret the test findings.

1. d. What is the P value of the test? Test the hypotheses using the P value. Take α=5%. Do you get the same answer as parts (c) and (d)? If your answer is the same as (c) and (d), you do not have to interpret again. Otherwise, interpret the test findings.

Answer 1