Question

Department of labor gives the results of a poll for reasons people leave their jobs. Limited advancement-25,%, lack of recognition -10%, Low salary benefits -42%, Poor management -15%, Boredom -8%, Do the results of a recent survey fit the distribution of a survey that found people leaving their jobs for these reasons? (a=.025)

RECENT SURVEY RESULTS

L. ADVANCEMENT 30

L. OF RECOGNITION 5

L. SALARY BENEFITS 39

POOR MANAGEMENT 6

BOREDOM 3

A. Find the critical CHi-SQUARE VALUE

B.Answer the questions

Answer 1

a)

degree of freedom =categories-1=

4

for 4 df and 0.025 level of signifcance critical value     χ2=

11.143

B)

Applying chi square test:

	relative	observed	Expected	residual	Chi square
category	frequency	Oi	Ei=total*p	R2i=(Oi-Ei)/√Ei	R2i=(Oi-Ei)2/Ei
L. Advancement	0.250	30	20.75	2.03	4.123
L. of recognition	0.100	5	8.30	-1.15	1.312
L. Salary Benefits	0.420	39	34.86	0.70	0.492
Poor Management	0.150	6	12.45	-1.83	3.342
Boredom	0.080	3	6.64	-1.41	1.995
total	1.000	83	83		11.264

test statistic X² =11.264

as test statistic falls above critical value ; reject Ho,