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 | 24 | 41 |
25 up to 40 | 32 | 49 | 69 |
40 up to 60 | 30 | 63 | 89 |
60 and older | 58 | 87 | 99 |
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.)
What is your decision regarding H0?
Decision rule = Reject the Ho if Test stats > = ( 16.812)
Critical value = CHISQ.INV.RT(0.01,DF =6) = 16.812
DF = (#rows-1)(#column-1)= 2*3 =6
Rows: Age (years) Columns: Worksheet columns
Low | Medium | High | All | |
Less than 25 | 20 | 24 | 41 | 85 |
Expected count | 18.00 | 28.68 | 38.32 | |
25 up to 40 | 32 | 49 | 69 | 150 |
Expected count | 31.77 | 50.61 | 67.62 | |
40 up to 60 | 30 | 63 | 89 | 182 |
Expected count | 38.55 | 61.40 | 82.05 | |
60 and older | 58 | 87 | 99 | 244 |
Expected count | 51.68 | 82.32 | 110.00 | |
All | 140 | 223 | 298 | 661 |
and so on for others
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So, Fail to reject Ho
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