Westinghouse Electric Company has experimented with different means of evaluating the performance of solder-joint inspectors. One approach involves comparing an individual inspector's classifications with those of the group of experts that comprise Westinghouse's Work Standards Committee. In one experiment conducted by Westinghouse, 153 solder connections were evaluated by the committee, and 111 were classified as acceptable. An inspector evaluated the same 153 connections and classified 124 as acceptable. Of the items rejected by the inspector, the committee agreed with 19.
a. Construct a contingency table that summarizes the classifications of the committee and the inspector.
b. Based on a visual examination of the table you constructed in part a, does it appear that there is a relationship between the inspector's classifications and the committee's? Explain. (A graph of the percentage rejected by committee and inspector will aid your examination.)
c. Conduct a chi-square test of independence for these data. Use α = .05. Carefully interpret the results of your test in the context of the problem.