Table 4 Effect of indeterminacy
\(\sum {p}_{N}\epsilon \left[\sum {p}_{L},\sum {p}_{U}\right]\) | \(\sum {p}_{L}+\sum {p}_{U}{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[{I}_{{p}_{L}},{I}_{{p}_{U}}\right]\) | Decision |
|---|---|---|
\(\sum {p}_{N}\epsilon\)[0.04, 0.01] | \(0.04-0.01{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,3}\right]\) | Reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.09, 0.05] | \(0.09-0.05{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.80}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.14, 0.10] | \(0.14-0.10{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.40}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.19, 0.15] | \(0.19-0.15{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.27}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.24, 0.20] | \(0.24-0.20{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.20}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.29, 0.25] | \(0.29-0.25{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.16}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.34, 0.30] | \(0.34-0.30{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.13}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.39, 0.35] | \(0.39-0.35{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.11}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.44, 0.40] | \(0.44-0.40{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.10}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.49, 0.45] | \(0.49-0.45{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.09}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.54, 0.50] | \(0.54-0.50{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.08}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.59, 0.55] | \(0.59-0.55{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.07}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.64, 0.60] | \(0.64-0.60{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.07}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.69, 0.65] | \(0.69-0.65{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.06}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.74, 0.70] | \(0.74-0.70{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.06}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.79, 0.75] | \(0.79-0.75{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.05}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.84, 0.80] | \(0.84-0.80{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.05}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.89, 0.85] | \(0.89-0.85{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.05}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.94, 0.90] | \(0.94-0.90{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.04}\right]\) | Do not reject \({H}_{0}\) |
\(\sum {p}_{N}\epsilon\)[0.99, 0.95] | \(0.99-0.95{I}_{{p}_{N}};{I}_{{p}_{N}}\epsilon \left[\mathrm{0,0.04}\right]\) | Do not reject \({H}_{0}\) |