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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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100%
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
Transcribed Image 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.
Transcribed Image 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
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