(failure) Click the icon to view the Chi-square distribution table. (a) Why is this a dependent sample? A. The same person answered both questions. O B. More than 5% of the population was surveyed. O C. The answer to the second question depends on the answer to the first question. O D. Two questions were asked. (b) Is there a significant difference in the proportion of individuals who smoke and the proportion of individuals that do not wear a seat belt? In other words, is there a significant difference between the proportion of individuals who engage in hazardous activities? Use the a = 0.05 level of significance. Let p, represent the proportion of individuals who smoke and p2 represent the proportion of individuals that do not wear a seat belt. What are the hypotheses for this test? VA. Họ: P1 "P2 O B. Ho: P1

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
In a survey of 2998 adults, a poll asked people whether they smoked cigarettes and whether they always wear a seat belt in a car. The table shows the results of the survey. For each activity, define a
success as finding an individual that participates in the hazardous activity. Complete parts (a) and (b).
No Seat Belt Seat Belt
(success)
(failure)
Smoke
54
433
(success)
Do not smoke
346
2165
(failure)
Click the icon to view the Chi-square distribution table.
(a) Why is this a dependent sample?
A. The same person answered both questions.
B. More than 5% of the population was surveyed.
C. The answer to the second question depends on the answer to the first question.
D. Two questions were asked.
(b) Is there a significant difference in the proportion of individuals who smoke and the proportion of individuals that do not wear a seat belt? In other words, is there a significant difference between the proportion of individuals who engage in
hazardous activities? Use the a = 0.05 level of significance. Let p, represent the proportion of individuals who smoke and p, represent the proportion of individuals that do not wear a seat belt.
What are the hypotheses for this test?
A. Ho: P1 = P2
H1: P1 #P2
В. Но: Р1 <Р2
H1: P1 = P2
C. Ho: P1 # P2
H1:P1 = P2
O D. Ho: P1 = P2
H1: P1 <P2
Calculate the test statistic.
(Round to two decimal places as needed.)
Transcribed Image Text:In a survey of 2998 adults, a poll asked people whether they smoked cigarettes and whether they always wear a seat belt in a car. The table shows the results of the survey. For each activity, define a success as finding an individual that participates in the hazardous activity. Complete parts (a) and (b). No Seat Belt Seat Belt (success) (failure) Smoke 54 433 (success) Do not smoke 346 2165 (failure) Click the icon to view the Chi-square distribution table. (a) Why is this a dependent sample? A. The same person answered both questions. B. More than 5% of the population was surveyed. C. The answer to the second question depends on the answer to the first question. D. Two questions were asked. (b) Is there a significant difference in the proportion of individuals who smoke and the proportion of individuals that do not wear a seat belt? In other words, is there a significant difference between the proportion of individuals who engage in hazardous activities? Use the a = 0.05 level of significance. Let p, represent the proportion of individuals who smoke and p, represent the proportion of individuals that do not wear a seat belt. What are the hypotheses for this test? A. Ho: P1 = P2 H1: P1 #P2 В. Но: Р1 <Р2 H1: P1 = P2 C. Ho: P1 # P2 H1:P1 = P2 O D. Ho: P1 = P2 H1: P1 <P2 Calculate the test statistic. (Round to two decimal places as needed.)
Chi-Square distribution area to the right
Chi-Square (x³) Distribution
Area to the Right of Critical Value
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
1
2
3
0.020
0.115
0.297
0.554
0.001
0.051
0.216
0.484
0.831
0.004
0.103
0.352
0.016
0.211
0.584
1.064
1.610
2.706
4.605
6.251
7.779
9.236
3.841
5.991
7.815
5.024
7.378
9.348
11.143
12.833
6.635
9.210
11.345
7.879
10.597
12.838
0.010
0.072
0.207
0.412
0.711
1.145
9.488
11.070
13.277
15.086
14.860
16.750
5
12.592
14.067
15.507
16.919
18.307
18.548
20.278
21.955
23.589
25.188
6
7
0.676
0.989
1.344
1.735
2.156
0.872
1.239
1.646
2.088
2.558
1.237
1.690
2.180
2.700
3.247
1.635
2.167
2.733
3.325
3.940
2.204
2.833
3.490
4.168
4.865
10.645
12.017
13.362
14.684
15.987
14.449
16.013
17.535
19.023
20.483
16.812
18.475
20.090
21.666
23.209
10
11
12
13
14
15
2.603
3.074
3.565
4.075
4.601
3.053
3.571
4.107
4.660
5.229
3.816
4.404
5.009
5.629
6.262
4.575
5.226
5.892
6.571
7.261
5.578
6.304
7.042
7.790
8.547
17.275
18.549
19.812
21.064
22.307
19.675
21.026
22.362
23.685
24.996
21.920
23.337
24.736
26.119
27.488
24.725
26.217
27.688
29.141
30.578
26.757
28.300
29.819
31.319
32.801
16
17
18
19
20
5.142
5.697
6.265
6.844
7.434
5.812
6.408
7.015
7.633
8.260
6.908
7.564
8.231
8.907
9.591
7.962
8.672
9.390
10.117
10.851
9.312
10.085
10.865
11.651
12.443
23.542
24.769
25.989
27.204
28.412
26.296
27.587
28.869
30.144
31.410
28.845
30.191
31.526
32.852
34.170
32.000
33.409
34.805
36.191
37.566
34.267
35.718
37.156
38.582
39.997
21
22
23
24
25
8.034
8.643
9.260
9.886
10.520
8.897
9.542
10.196
10.856
11.524
10.283
10.982
11.689
12.401
13.120
11.591
12.338
13.091
13.848
14.611
13.240
14.041
14.848
15.659
16.473
29.615
30.813
32.007
33.196
34.382
32.671
33.924
35.172
36.415
37.652
35.479
36.781
38.076
39.364
40.646
38.932
40.289
41.638
42.980
44.314
41.401
42.796
44.181
45.559
46.928
Transcribed Image Text:Chi-Square distribution area to the right Chi-Square (x³) Distribution Area to the Right of Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 2 3 0.020 0.115 0.297 0.554 0.001 0.051 0.216 0.484 0.831 0.004 0.103 0.352 0.016 0.211 0.584 1.064 1.610 2.706 4.605 6.251 7.779 9.236 3.841 5.991 7.815 5.024 7.378 9.348 11.143 12.833 6.635 9.210 11.345 7.879 10.597 12.838 0.010 0.072 0.207 0.412 0.711 1.145 9.488 11.070 13.277 15.086 14.860 16.750 5 12.592 14.067 15.507 16.919 18.307 18.548 20.278 21.955 23.589 25.188 6 7 0.676 0.989 1.344 1.735 2.156 0.872 1.239 1.646 2.088 2.558 1.237 1.690 2.180 2.700 3.247 1.635 2.167 2.733 3.325 3.940 2.204 2.833 3.490 4.168 4.865 10.645 12.017 13.362 14.684 15.987 14.449 16.013 17.535 19.023 20.483 16.812 18.475 20.090 21.666 23.209 10 11 12 13 14 15 2.603 3.074 3.565 4.075 4.601 3.053 3.571 4.107 4.660 5.229 3.816 4.404 5.009 5.629 6.262 4.575 5.226 5.892 6.571 7.261 5.578 6.304 7.042 7.790 8.547 17.275 18.549 19.812 21.064 22.307 19.675 21.026 22.362 23.685 24.996 21.920 23.337 24.736 26.119 27.488 24.725 26.217 27.688 29.141 30.578 26.757 28.300 29.819 31.319 32.801 16 17 18 19 20 5.142 5.697 6.265 6.844 7.434 5.812 6.408 7.015 7.633 8.260 6.908 7.564 8.231 8.907 9.591 7.962 8.672 9.390 10.117 10.851 9.312 10.085 10.865 11.651 12.443 23.542 24.769 25.989 27.204 28.412 26.296 27.587 28.869 30.144 31.410 28.845 30.191 31.526 32.852 34.170 32.000 33.409 34.805 36.191 37.566 34.267 35.718 37.156 38.582 39.997 21 22 23 24 25 8.034 8.643 9.260 9.886 10.520 8.897 9.542 10.196 10.856 11.524 10.283 10.982 11.689 12.401 13.120 11.591 12.338 13.091 13.848 14.611 13.240 14.041 14.848 15.659 16.473 29.615 30.813 32.007 33.196 34.382 32.671 33.924 35.172 36.415 37.652 35.479 36.781 38.076 39.364 40.646 38.932 40.289 41.638 42.980 44.314 41.401 42.796 44.181 45.559 46.928
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