A Manufacturing componay 6 A manufacturing company has a job

A Manufacturing componay....

6. A manufacturing company has a job opening for a supervisor which it wishes to fill internally. Fifty-two employees were judged on whether their ability enabled them to handle such a position. Each was assessed by a psychologist who used various tests and a supervisor who had observed their efforts. The conclusions drawn by the psychologist and the supervisor concerning the ability of each individual are summarized in the following contingency table. (a) Are the judgments of the psychologist related to those of the supervisor? Test at alpha = .05. (b) If Ho is rejected in (b), determine which two cells contribute most to the decision, and give an interpretation of each.

Solution

(a) The test hypothesis is

Ho: the judgements of the psychologist are not related to those of the supervisor

Ha: the judgements of the psychologist are related to those of the supervisor

		Yes	No	Total
Yes	Observed	12	8	20
	Expected	6.15	13.85	20.00
	(O - E)