Table 4 Effect of level of significance in decision-making
From: Data analysis for sequential contingencies under uncertainty
\({I}_{{\alpha }_{N}}\epsilon \left[{I}_{{\alpha }_{L}},{I}_{{\alpha }_{U}}\right]\) | \({\alpha }_{N}={\alpha }_{L}+{\alpha }_{U}{I}_{{\alpha }_{N}}\) | \({Z}_{N}\epsilon \left[{Z}_{L},{Z}_{U}\right]\) | \({Z}_{CN}\epsilon \left[{Z}_{CL},{Z}_{CU}\right]\) | Decision about \({H}_{0}\) |
|---|---|---|---|---|
[0, 0.5000] | \(0.001+0.002{I}_{{\alpha }_{N}}\) | \({Z}_{N}\epsilon \left[\mathrm{1.493,1.493}\right]\) | [3.29,3.09] | Do not reject \({H}_{0}\) |
[0, 0.7400] | \(0.0026+0.01{I}_{{\alpha }_{N}}\) | \({Z}_{N}\epsilon \left[\mathrm{1.493,1.493}\right]\) | [3.00,2.58] | Do not reject \({H}_{0}\) |
[0, 0.5614] | \(0.02+0.0456{I}_{{\alpha }_{N}}\) | \({Z}_{N}\epsilon \left[\mathrm{1.493,1.493}\right]\) | [2.33,2.00] | Do not reject \({H}_{0}\) |
[0, 0.5000] | \(0.05+0.10{I}_{{\alpha }_{N}}\) | \({Z}_{N}\epsilon \left[\mathrm{1.493,1.493}\right]\) | [1.96,1.64] | Do not reject \({H}_{0}\) |
[0, 0.3711] | \(0.20+0.318{I}_{{\alpha }_{N}}\) | \({Z}_{N}\epsilon \left[\mathrm{1.493,1.493}\right]\) | [1.28,1.00] | Reject \({H}_{0}\) |