Question

A study regarding the relationship between age and the amount of pressure sales personnel feel in relation to their jobs revealed the following sample information. At the 0.1 significance level, is there a relationship between job pressure and age?

	Degree of Job Pressure
Age (years)	Low	Medium	High
Less than 25	28	17	14
25 up to 40	45	59	53
40 up to 60	57	61	59
60 and older	36	44	34

State the decision rule. Use 0.1 significance level. (Round your answer to 3 decimal places.)

H₀: Age and pressure are not related.

H₁: Age and pressure are related.

Reject H0 if chi-square > __________

Compute the value of chi-square. (Round your answer to 3 decimal places.)

Chi-square:_________

Answer 1

(1) Reject H0 if chi-square > 10.645

(2) Chi-square: 7.718

Software Output:

Actual Values:
28 17 14
45 59 53
57 61 59
36 44 34

Expected Values:
19.3176 21.0631 18.6193
51.4043 56.0493 49.5463
57.9527 63.1893 55.858
37.3254 40.6982 35.9763

Chi-Squared Values:
3.9024 0.783783 1.14602
0.797901 0.155338 0.240738
0.0156605 0.0758553 0.176738
0.0470671 0.267867 0.108568

Chi-Square = 7.71794

Degrees of Freedom = 6

P-value = 0.259504