Question

The city Personnel Department is revising its training manual for supervisory personnel. They believe that it may be important to encourage supervisors to be more supportive of their workers in order to increase productivity. In order to test this belief, they take a random sample of 150 workers and classify them according to two variables: whether they consider their supervisor supportive or non-supportive, and whether an objective test indicates that the worker's productivity is below average, average, or above average. These data are cross-tabulated below.

Productivity	Type of Supervisor
	Non-Supportive	Supportive
Below Average	15	20
Average	20	30
Above Average	25	40

Conduct a chi-square test for the relationship between these variables. Is there support for the Department's belief?

Answer 1

H0: Productivity and Type of Supervisor are independent.

H1: Productivity and Type of Supervisor are not independent.

(since P-value is large)