TABLE 3-1 Critical Values of the x2 Distribution P df 0.995 0.975 0.9 0.5 0.1 0.05 0.025 0.01 0.005 df 1 .000 .000 0.016 0.455 2.706 3.841 5.024 6.635 7.879 1 0.010 0.051 0.211 1.386 4.605 5.991 7.378 9.210 10.597 2 3 0.072 0.216 0.584 2.366 6.251 7.815 9.348 11.345 12.838 3 4 0.207 0.484 1.064 3.357 7.779 9.488 11.143 13.277 14.860 4 0.412 0.831 1.610 4.351 9.236 11.070 12.832 15.086 16.750 0.676 1.237 2.204 5.348 10.645 12.592 14.449 16.812 18.548 7 0.989 1.690 2.833 6.346 12.017 14.067 16.013 18.475 20.278 7 8 1.344 2.180 3.490 7.344 13.362 15.507 17.535 20.090 21.955 1.735 2.700 4.168 8.343 14.684 16.919 19.023 21.666 23.589 9 10 2.156 3.247 4.865 9.342 15.987 18.307 20.483 23.209 25.188 10 11 2.603 3.816 5.578 10.341 17.275 19.675 21.920 24.725 26.757 11 12 3.074 4.404 6.304 11.340 18.549 21.026 23.337 26.217 28.300 12 13 3.565 5.009 7.042 12.340 19.812 22.362 24.736 27.688 29.819 13 14 4.075 5.629 7.790 13.339 21.064 23.685 26.119 29.141 31.319 14 15 4.601 6.262 8.547 14.339 22.307 24.996 27.488 30.578 32.801 15

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Question

Using Table 3-1, answer the following questions about
probability values (see p. 97):
a. If χ2 is calculated to be 17 with 9 df, what is the
approximate probability value?
b. If χ2 is 17 with 6 df, what is the probability value?
c. What trend (“rule”) do you see in the previous two
calculations?

TABLE 3-1 Critical Values of the x2 Distribution
P
df
0.995
0.975
0.9
0.5
0.1
0.05
0.025
0.01
0.005
df
1
.000
.000
0.016
0.455
2.706
3.841
5.024
6.635
7.879
1
0.010
0.051
0.211
1.386
4.605
5.991
7.378
9.210
10.597
2
3
0.072
0.216
0.584
2.366
6.251
7.815
9.348
11.345
12.838
3
4
0.207
0.484
1.064
3.357
7.779
9.488
11.143
13.277
14.860
4
0.412
0.831
1.610
4.351
9.236
11.070
12.832
15.086
16.750
0.676
1.237
2.204
5.348
10.645
12.592
14.449
16.812
18.548
7
0.989
1.690
2.833
6.346
12.017
14.067
16.013
18.475
20.278
7
8
1.344
2.180
3.490
7.344
13.362
15.507
17.535
20.090
21.955
1.735
2.700
4.168
8.343
14.684
16.919
19.023
21.666
23.589
9
10
2.156
3.247
4.865
9.342
15.987
18.307
20.483
23.209
25.188
10
11
2.603
3.816
5.578
10.341
17.275
19.675
21.920
24.725
26.757
11
12
3.074
4.404
6.304
11.340
18.549
21.026
23.337
26.217
28.300 12
13
3.565
5.009
7.042
12.340
19.812
22.362
24.736
27.688
29.819
13
14
4.075
5.629
7.790
13.339
21.064
23.685
26.119
29.141
31.319
14
15
4.601
6.262
8.547
14.339
22.307
24.996
27.488
30.578
32.801 15
Transcribed Image Text:TABLE 3-1 Critical Values of the x2 Distribution P df 0.995 0.975 0.9 0.5 0.1 0.05 0.025 0.01 0.005 df 1 .000 .000 0.016 0.455 2.706 3.841 5.024 6.635 7.879 1 0.010 0.051 0.211 1.386 4.605 5.991 7.378 9.210 10.597 2 3 0.072 0.216 0.584 2.366 6.251 7.815 9.348 11.345 12.838 3 4 0.207 0.484 1.064 3.357 7.779 9.488 11.143 13.277 14.860 4 0.412 0.831 1.610 4.351 9.236 11.070 12.832 15.086 16.750 0.676 1.237 2.204 5.348 10.645 12.592 14.449 16.812 18.548 7 0.989 1.690 2.833 6.346 12.017 14.067 16.013 18.475 20.278 7 8 1.344 2.180 3.490 7.344 13.362 15.507 17.535 20.090 21.955 1.735 2.700 4.168 8.343 14.684 16.919 19.023 21.666 23.589 9 10 2.156 3.247 4.865 9.342 15.987 18.307 20.483 23.209 25.188 10 11 2.603 3.816 5.578 10.341 17.275 19.675 21.920 24.725 26.757 11 12 3.074 4.404 6.304 11.340 18.549 21.026 23.337 26.217 28.300 12 13 3.565 5.009 7.042 12.340 19.812 22.362 24.736 27.688 29.819 13 14 4.075 5.629 7.790 13.339 21.064 23.685 26.119 29.141 31.319 14 15 4.601 6.262 8.547 14.339 22.307 24.996 27.488 30.578 32.801 15
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