\documentclass{article} \begin{document} \thispagestyle{empty} \begin{center} Characteristic Qualities of Sequential Tests of the Binomial Distribution Computed for Various Combinations of $\theta_0$ and $\theta_l$ with $\alpha=0.05$ and $\beta=0.10$ \end{center} \[ \begin{array}{cccccrrrrr} \theta_0 & \theta_l & h_2 & h_1 & s & n(0) & n(1) & n(\theta_0) & n(s) & n(\theta_l) \\ 0.005 & 0.01 & 4.1398 & 3.2245 & 0.00722 & 447 & 4 & 1289 & 1863 & 1222 \\ & 0.02 & 2.0624 & 1.6064 & 0.01084 & 148 & 2 & 244 & 309 & 185 \\ & 0.03 & 1.5906 & 1.2389 & 0.01400 & 88 & 2 & 122 & 143 & 82 \\ & 0.04 & 1.3664 & 1.0643 & 0.01693 & 63 & 1 & 79 & 87 & 49 \\ & 0.05 & 1.2305 & 0.9585 & 0.01970 & 49 & 1 & 58 & 61 & 33 \\ & 0.06 & 1.1371 & 0.8857 & 0.02237 & 40 & 1 & 45 & 46 & 25 \\ & 0.07 & 1.0679 & 0.8318 & 0.02496 & 33 & 1 & 37 & 36 & 19 \\ & 0.08 & 1.0138 & 0.7897 & 0.02749 & 29 & 1 & 31 & 30 & 16 \\ & 0.09 & 0.9700 & 0.7556 & 0.02997 & 25 & 1 & 27 & 25 & 13 \\ & 0.10 & 0.9336 & 0.7271 & 0.03241 & 22 & 1 & 23 & 22 & 11 \\ \ \\ 0.010 & 0.02 & 4.1097 & 3.2010 & 0.01444 & 222 & 4 & 639 & 925 & 607 \\ & 0.03 & 2.5829 & 2.0118 & 0.01824 & 110 & 3 & 216 & 290 & 181 \\ & 0.04 & 2.0397 & 1.5887 & 0.02172 & 73 & 2 & 120 & 153 & 92 \\ & 0.05 & 1.7510 & 1.3639 & 0.02499 & 55 & 2 & 81 & 98 & 58 \\ & 0.06 & 1.5678 & 1.2211 & 0.02811 & 43 & 2 & 60 & 70 & 40 \\ & 0.07 & 1.4391 & 1.1209 & 0.03113 & 36 & 1 & 47 & 53 & 30 \\ & 0.08 & 1.3426 & 1.0458 & 0.03406 & 31 & 1 & 38 & 43 & 24 \\ & 0.09 & 1.2669 & 0.9868 & 0.03693 & 27 & 1 & 32 & 35 & 20 \\ & 0.10 & 1.2054 & 0.9389 & 0.03975 & 24 & 1 & 28 & 30 & 16 \\ \ \\ 0.015 & 0.02 & 9.8725 & 7.6896 & 0.01738 & 442 & 10 & 2859 & 4445 & 3101 \\ & 0.03 & 4.0796 & 3.1776 & 0.02166 & 147 & 4 & 423 & 612 & 402 \\ & 0.04 & 2.8716 & 2.2367 & 0.02554 & 88 & 3 & 188 & 258 & 163 \\ & 0.05 & 2.3307 & 1.8153 & 0.02917 & 62 & 2 & 113 & 149 & 92 \\ & 0.06 & 2.0169 & 1.5710 & 0.03263 & 48 & 2 & 79 & 100 & 61 \\ & 0.07 & 1.8089 & 1.4089 & 0.03596 & 39 & 2 & 60 & 74 & 44 \\ & 0.08 & 1.6590 & 1.2922 & 0.03918 & 33 & 2 & 47 & 57 & 33 \\ & 0.09 & 1.5449 & 1.2033 & 0.04233 & 28 & 2 & 39 & 46 & 27 \\ & 0.10 & 1.4544 & 1.1328 & 0.04541 & 25 & 2 & 33 & 38 & 22 \\ \ \\ 0.020 & 0.03 & 6.9527 & 5.4154 & 0.02467 & 219 & 7 & 1027 & 1565 & 1073 \\ & 0.04 & 4.0495 & 3.1541 & 0.02889 & 109 & 4 & 314 & 455 & 300 \\ & 0.05 & 3.0509 & 2.3763 & 0.03282 & 72 & 3 & 164 & 228 & 146 \\ & 0.06 & 2.5348 & 1.9743 & 0.03655 & 54 & 3 & 106 & 142 & 89 \\ & 0.07 & 2.2146 & 1.7250 & 0.04012 & 43 & 2 & 76 & 99 & 61 \\ & 0.08 & 1.9941 & 1.5532 & 0.04359 & 36 & 2 & 58 & 74 & 45 \\ & 0.09 & 1.8315 & 1.4265 & 0.04696 & 30 & 2 & 47 & 58 & 35 \\ & 0.10 & 1.7056 & 1.3285 & 0.05025 & 26 & 2 & 39 & 47 &28 \end{array} \] \end{document} %
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