The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. Click the icon to view the Chi-Square table of critical values. (a) Compute the value of the chi-square test statistic. x=(Round to three decimal places as needed.) Y₁ Y₂ X₁ X₂ X3 32 41 45 (32.82) (41.89) (43.29) 19 17 15 (14.18) (18.11) (18.71)
The table to the right contains observed values and expected values in parentheses for two categorical variables, X and Y, where variable X has three categories and variable Y has two categories. Use the table to complete parts (a) and (b) below. Click the icon to view the Chi-Square table of critical values. (a) Compute the value of the chi-square test statistic. x=(Round to three decimal places as needed.) Y₁ Y₂ X₁ X₂ X3 32 41 45 (32.82) (41.89) (43.29) 19 17 15 (14.18) (18.11) (18.71)
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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Question
Transcribed Image Text:The table to the right contains observed values and expected values
in parentheses for two categorical variables, X and Y, where variable
X has three categories and variable Y has two categories. Use the
table to complete parts (a) and (b) below.
Click the icon to view the Chi-Square table of critical values.
(a) Compute the value of the chi-square test statistic.
x=(Round to three decimal places as needed.)
Y₁
Y₂
X₁
X₂
X3
32
41 45
(32.82) (41.89) (43.29)
17
15 19
(14.18) (18.11) (18.71)
Transcribed Image Text:Degrees of
Freedom
1234567** HARIS SESSA 58333 SAS
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
0.995
0.010
0.072
0.207
0.412
0.676
0.989
1.344
2.603
3.074
3.565
4.075
4.601
1.646
1.735 2.088
2.156
2.558
5.142
5.697
6.265
6.844
7.434
9.886
10.520
0.99
11.160
11.808
0.020
0.115
0.297
0.554
12.461
13.121
0.872
1.239
3.053
3.571
4.107
4.660
5.229
8.034 8.897
8.643
9.542
9.260
10.196
7.015
7.633
8.260
0.975
0,001
0.051
0.216
0.484
0.831
1.237
1.690
2.180
2.700
3.247
3.816
4.404
5.009
5.629
6.262
Chi-Square (²) Distribution
10.856
11.524 13.120
Area to the Right of Critical Value
0.95
0.90
0.05
12.198 13.844
12.879
13.565
14.256
0.004
0.103
0.352
0.711
1.145
1.635
2.167
2.733
3.325
3.940
6.571
7.261
5.812 6.908 7.962
6.408
7.564
8.231 9.390 10.865
8.907 10.117 11.651
9.591 10.851
12.443
0.016
0.211
0.584
1.064
1.610
2.204
2.833
3.490
4.168
4.865
15.379
14.573 16.151
13.240
10.283
11.591
10.982 12.338 14.041
11.689
13.091 14.848
12.401 13.848 15.659
14.611 16.473
15.308
16.928
16.047 17.708
4.575
5.578
17.275
5.226 6.304 18.549
5.892
19.812
21.064
22.307
7.042
7.790
8.547
0.10
2.706
4.605
6.251
7.779
9.236
17.292
18.114
18.939
19.768
10.645
12.017
13.362
14.684
15.987
3.841
5.991
7.815
9.488
11.070
35.563
36.741
12.592
14.067
15.507
16.919
18.307
37.916
39.087
9.312
23.542
26.296
28.845
8.672 10.085 24.769 27.587 30.191
25.989 28,869
27.204
31.526
30.144 32.852
28.412
31.410
34.170
29.615
32.671
30.813
33.924
32.007
35.172
33.196
36.415
34.382 37.652
0.025
5.024
7.378
38.885
40,113
9.348
11.143
12.833
41.337
42.557
19.023
20.483
19.675
21.026
22.362 24.736
23.685 26.119. 29.141
24.996
27.488
30.578
14.449 16.812
16.013
18.475
17.535
20.090
21.666
23.209
21.920
23.337
35.479
36.781
38.076
0.01
6.635
9.210
39.364
40.646
11.345
13.277
15.086
44.461
45.722
24.725
26.217
27.688
32.000
33.409
34.805
36.191
37.566
38.932
40.289
41.638
42.980
44.314
41.923 45.642
43.195
46.963
48.278
49.588
0.005
7.879
10.597
12.838
14.860
16.750
18.548
20.278
21.955
23.589
25.188
26.757
28.300
29.819
31.319
32.801
34.267
35.718
37.156
38.582
39.997
41.401
42.796
44.181
45.559
46.928
48.290
49.645
50.993
52.336
➤
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