Forty-one small lots of experimental product were manufactured and tested for the occurrence of a particular indication that is attributed in nature yet causes rejection of the part. Ten lots were made using one particular processing method, and thirty-one lots were made using yet a second processing method. Each lot was equally sampled (n  32) for presence of this indication. In practice, optimal processing conditions show little or no occurrence of the indication. Method 1, involving the ten lots, was run before Method 2.

Source: Courtesy of Bausch & Lomb Methods n Number of Rejects Method 1 320 4 Method 2 992 26

a. Determine, at the 0.05 level of significance, if there is a difference in the proportion of reject product between the two methods.

b. Compare your finding in part a with the findings in Exercise 10.101 (p. 591). Include all parts of the hypothesis tests in your comparison.

c. Would you say these two different testing procedures are equivalent? Give specific evidence supporting your answer.