In a large country, the proportion of fatal traffic accidents in which the diver had a high BAC (Blood Alcohol Consumption) is 35%. Suppose a random sample of 107 fatal traffic accidents in a certain region, 47 of them had a high BAC. Does this evidence suggest that the region has a higher proportion of fatal traffic accidents with a high BAC than the rest of the country, a=0.05 level of significance? Use the p value approach
In a large country, the proportion of fatal traffic accidents in which the diver had a high BAC (Blood Alcohol Consumption) is 35%. Suppose a random sample of 107 fatal traffic accidents in a certain region, 47 of them had a high BAC. Does this evidence suggest that the region has a higher proportion of fatal traffic accidents with a high BAC than the rest of the country, a=0.05 level of significance? Use the p value approach
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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In a large country, the proportion of fatal traffic accidents in which the diver had a high BAC (Blood Alcohol Consumption) is 35%. Suppose a random sample of 107 fatal traffic accidents in a certain region, 47 of them had a high BAC. Does this evidence suggest that the region has a higher proportion of fatal traffic accidents with a high BAC than the rest of the country, a=0.05 level of significance? Use the p value approach
Transcribed Image Text:TABLE D
t distribution critical values
df
—NM+56
3
4
13
14
15
16
17
18
19
20
21
22
23
24
Table entry for p and C is
the critical value t* with
probability p lying to its
right and probability C lying
between -t* and t*.
25
26
29
30
40
50
60
80
100
1000
.25
.20
50%
1.000
2 0.816
1.376 1.963 3.078
1.061 1.386 1.886
6.314 12.71
2.920 4.303
0.765
0.978
1.250 1.638
2.353
3.182
0.741
0.941
1.190 1.533
2.132
2.776
0.727
0.920
1.156
1.476
2.015
2.571
0.718
0.906
1.134
1.440
1.943
2.447
7
0.711
0.896
1.119 1.415 1.895 2.365
9
2.821 3.250
10
8 0.706 0.889 1.108 1.397 1.860 2.306 2.449
0.703 0.883 1.100 1.383 1.833 2.262 2.398
0.879 1.093 1.372 1.812 2.228 2.359
0.876 1.088 1.363 1.796 2.201
1.083 1.356 1.782
0.700
2.764 3.169
11
0.697
2.328
2.718
3.106
12
0.695
0.873
2.179
2.303 2.681
3.055
0.694 0.870
1.079 1.350
2.160
1.771
1.076 1.345 1.761
0.692 0.868
2.145
0.691
0.866
1.074 1.341
1.753
2.131
0.690
0.865
1.071
1.337
1.746
0.689
0.863 1.069
1.333 1.740
0.688
0.688
0.862
0.861 1.066
0.860 1.064
0.686 0.859 1.063
0.687
1.323
1.721
0.686 0.858 1.061
1.321
1.717
0.685 0.858 1.060
1.319 1.714
0.684
0.684
0.685 0.857 1.059
0.856 1.058
0.856 1.058
1.318 1.711
1.316 1.708
1.315 1.706
27 0.684 0.855 1.057 1.314 1.703
28 0.683 0.855 1.056 1.313 1.701
0.683 0.854 1.055 1.311 1.699
0.683 0.854 1.055 1.310 1.697
0.681 0.851 1.050
0.679 0.849 1.047
1.303 1.684
1.299
1.676
0.679 0.848 1.045 1.296 1.671
0.678 0.846 1.043 1.292 1.664
0.677 0.845 1.042 1.290 1.660
0.675 0.842 1.037 1.282 1.646
0.674 0.841 1.036 1.282 1.645
.15
60%
.10
70%
1.067 1.330
.05
80%
Upper-tail probability p
2.120
2.110
1.734 2.101
1.328 1.729 2.093
1.325
1.725
2.086
.025
90%
2.080
2.074
2.069
2.064
2.060
2.056
2.052
2.048
2.045
2.042
2.021
2.009
2.000
1.990
.02
95%
15.89
4.849
3.482 4.541
.01
2.088
1.984 2.081
1.962 2.056
1.960 2.054
2.999 3.747
4.604
2.757 3.365 4.032
2.612 3.143 3.707
2.517 2.998 3.499
2.896 3.355
.005
31.82
63.66
6.965 9.925
5.841
2.282
2.650 3.012
2.264 2.624
2.977
2.249
2.602
2.947
2.235
2.583
2.921
2.224
2.567
2.898
2.214
2.552
2.878
2.205 2.539 2.861
2.197
2.528
2.845
96%
2.189
2.518
2.831
2.183 2.508
2.819
2.177
2.500
2.807
2.172
2.492 2.797
2.167
2.485 2.787
2.162 2.479 2.779
2.158 2.473 2.771
2.154 2.467
2.763
2.150
2.462
2.756
2.147
2.457 2.750
2.123
2.423
2.704
2.109
2.403 2.678
2.099 2.390 2.660
2.374 2.639
2.364 2.626
2.330 2.581
2.326
2.576
Confidence level C
98%
99%
Probability p
www
.0025
127.3
14.09
7.453
5.598
4.773
4.317
4.029
3.833
3.690
3.581
3.497
3.428
.001
99.5%
318.3
22.33
10.21
7.173
5.893
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.372
3.852
3.326 3.787
3.286
3.733
3.252
3.686
3.222 3.646
3.197
3.611
3.174 3.579
3.153
3.552
3.135
3.119
3.104
3.091
3.078
3.067
3.057
3.047
3.038
3.030
2.971
2.937
2.915
2.887
2.871
2.813
2.807
3.527
3.505
3.485
3.467
3.450
3.435
3.421
3.408
3.396
3.385
3.307
3.261
3.232
3.195
3.174
3.098
3.091
99.8%
.0005
636.6
31.60
12.92
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.768
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.551
3.496
3.460
3.416
3.390
3.300
3.291
99.9%
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