2. 120 2.110 1.337 1.333 1.330 1.328 1.325 1.746 1. 740 1.734 2.583 2.567 2.552 2.539 2.528 2.921 2.898 3.686 3.646 3.610 3.579 16 4.015 3.965 3.922 3.883 3.850 17 18 2.101 2.878 2.861 1.729 1.725...

All patients admitted to a particular hospital can be released on the same day or kept overnight for observation. In a sample of 2550 patients, 1020 were kept overnight for observation

a) What is the point estimate ?̂for the proportion of all patients kept overnight for

observation?
b) Construct a 99% confidence interval for the proportion of all patients kept overnight for

observation

Extracted text: 2. 120 2.110 1.337 1.333 1.330 1.328 1.325 1.746 1. 740 1.734 2.583 2.567 2.552 2.539 2.528 2.921 2.898 3.686 3.646 3.610 3.579 16 4.015 3.965 3.922 3.883 3.850 17 18 2.101 2.878 2.861 1.729 1.725 2.093 19 20 2. 086 2.845 3.552 1.323 1.321 1.319 1.721 2.080 2.074 2.069 2.518 2.508 2.500 2.831 21 22 23 3. 527 3.505 3.485 3.467 3.450 3.819 3.792 3.767 1.717 1.714 2.819 2.807 2.797 2.787 1.318 1.316 1.711 2.064 2.060 2.492 2.485 3.745 3.725 24 25 1.708 1.315 1.314 1.706 1.703 1.701 1.699 1.697 2.056 2.052 2.048 2.045 2.042 2.479 2.779 3.435 26 27 3.707 3.690 3.674 28 29 30 1.313 1.311 1.310 2.473 2.467 2.462 2.457 2.771 2.763 2.756 2.750 3.421 3.408 3.396 3.385 3.659 3.646 1.303 1.296 1.289 2.021 2.000 1.980 1.960 1.684 2.423 2.390 2.358 2.326 2.704 2.660 2.617 2.576 3.307 3.232 3.160 3. 090 40 3.551 1.671 60 120 3.460 1.658 3.343 1.282 1.645 3.291 This table is taken from Table III of Fisher & Yates: Statistical Tables for Biological, Agricultural and Medical Research, published by Oliver & Boyd Ltd., Edinburgh, and by permission of the authors and publishers and also from Table 12 of Biometrika Tables for Statisticians, Volume 1, by permission of the Biometrika Trustees.


Extracted text: The table gives the value of ta;y– the 100a percentage point of the t distribution for v degrees of freedom. The values of t are obtained by solution of the equation:- a - I{'½lv+1} {r½}-' (vn)¯1'2 [(1 + x²/v)¯(v + 1y2 dx Note. The tabulation is for one tail only i.e. for positive values of t. For |t| the column headings for a must be doubled. a = 0.10 0. 05 0. 025 0.01 0. 005 0. 001 0. 0005 3.078 1.886 1. 638 1. 533 1.476 6.314 2.920 2.353 2.-132 2.015 12.706 4.303 3. 182 2.776 2.571 31. 821 6.965 4.541 3.747 3.365 63.657 9.925 5. 841 4.604 4.032 318.31 22.326 10.213 7.173 5. 893 636. 62 31.598 12.924 8.610 6. 869 1. 440 1.415 1.397 1.383 1.372 1.943 1.895 1. 860 1. 833 1.812 2.447 2.365 2.306 2.262 2.228 3. 143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3. 169 5.208 4.785 4.501 4.297 4. 144 5.959 5.408 5.041 6 7 8 9 10 4.781 4.587 1.363 1.356 1.350 1.345 1.341 1.796 1.732 1.771 1.761 1.753 2.201 2.179 2.160 2.145 2.131 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 4.025 3.930 3.852 4.437 4.318 4.221 11 12 13 14 15 3.787 3.733 4.140 2.947 4. 073 1.337 1.746 2. 120 2.583 2.921 3. 686 4.015 16 1234S