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 0.01 significance level, is there a relationship between job pressure and age?

	Degree of Job Pressure
Age (years)	Low	Medium	High
Less than 25	20	18	22
25 up to 40	50	46	44
40 up to 60	58	63	59
60 and older	34	43	43

State the decision rule. Use 0.01 significance level. (Round your answer to 3 decimal places.)

H₀: Age and pressure are not related.

H₁: Age and pressure are related.

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

Answer 1

please rate if it is helpful

Sol: observed values Low Meduim High Total is 22 CO 30 44 140 58 46 63 +3 180 34 59 43 16.8 12.0 162 170 500 Expected value = Row total x Column total Overall to tal Low Medium | High 19.44 20.4 20.16 45.36 47.04 59.32 47-6 61.2 40.8 60.48 38.88 40.32 chisquar Values Co-E² Low Medium High 0.0162 O. 2824 0.1679 o.1965 10.4747 0.0018 0.6126 0.0538 0.0529 0.1187 0.0363 0.1782 Chisquar value x- Z O-E)? E 2.19149 212-192 df = 6. p-value = 0.901272 SO Decision rule. p-value (0.9012 ) > 20.01, fail to reject Ho.