Chi-Square Good of Fit Problem: Automobile insurance is much more expensive for teenage drivers than for older drivers. To justify this cost difference, insurance companies claim that the younger drivers are much more likely to be involved in costly accidents. To test this claim, a researcher obtained information about registered drivers from the Department of Motor Vehicles (DMV) and selected a sample of n = 300 accidents reports from the police department. The DMV reports the percentage of registered drivers in each age category as follows: 16% are younger than age 20,; 28%are 20 to 29 years old;and 56% are age 30 and older. The number of accidents reports for each age group is as follows: Under age 20 Age 20-29 Age 30 and older 68 92 140 Is there a difference between the three age groups? Test with alpha = .05 Remember use the table on 582 for critical region values
Chi-Square Good of Fit Problem: Automobile insurance is much more expensive for teenage drivers than for older drivers. To justify this cost difference, insurance companies claim that the younger drivers are much more likely to be involved in costly accidents. To test this claim, a researcher obtained information about registered drivers from the Department of Motor Vehicles (DMV) and selected a sample of n = 300 accidents reports from the police department. The DMV reports the percentage of registered drivers in each age category as follows: 16% are younger than age 20,; 28%are 20 to 29 years old;and 56% are age 30 and older. The number of accidents reports for each age group is as follows: Under age 20 Age 20-29 Age 30 and older 68 92 140 Is there a difference between the three age groups? Test with alpha = .05 Remember use the table on 582 for critical region values
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 15E: Describe the standard normal distribution. What are its characteristics?
Related questions
Topic Video
Question
Chi-Square Good of Fit Problem:
Automobile insurance is much more expensive for teenage drivers than for older drivers. To justify this cost difference, insurance companies claim that the younger drivers are much more likely to be involved in costly accidents. To test this claim, a researcher obtained information about registered drivers from the Department of Motor Vehicles (DMV) and selected a sample of n = 300 accidents reports from the police department. The DMV reports the percentage of registered drivers in each age category as follows: 16% are younger than age 20,; 28%are 20 to 29 years old;and 56% are age 30 and older. The number of accidents reports for each age group is as follows:
Under age 20 Age 20-29 Age 30 and older
68 92 140
Is there a difference between the three age groups? Test with alpha = .05 Remember use the table on 582 for critical region values.
Transcribed Image Text:582
APPENDIX B STATISTICAL TABLES
TABLE B.7
THE CHI-SQUARE DISTRIBUTION*
*The table entries are critical values of x².
Critical
Proportion in Critical Region
df
0.10
0.05
0.025
0.01
0.005
1
2.71
3.84
5.02
6.63
7.88
2
4.61
5.99
7.38
9.21
10.60
3
6.25
7.81-
9.35
11.34
12.84
4
7.78
9.49.
11.14
13.28
14.86
5
9.24
11.07
12.83
15.09
16.75
6
10.64
12.59
14.45
´ 16.81
18.55
7
12.02
14.07
16.01
18.48
20.28
8.
13.36
15.51
17.53
20.09
21.96
16.92
19.02
21.67
23.59
14.68
15.99
9.
10
18.31
20.48
23.21
25.19
11
17.28
19.68
21.92
24.72
26.76
12
18.55
21.03
23.34
26.22
28.30
22.36
24.74
27.69
29.82
19.81
21.06
13
29.14
31.32
23.68
25.00
14
26.12
15
22.31
27.49
30.58
32.80
16
23.54
26.30
28.85
32.00
34.27
17
24.77
27.59
30.19
33.41
35.72
18
25.99
28.87
31.53
34.81
37.16
19
27.20
30.14
32.85
36.19
38.58
20
28.41
31.41
34.17
37.57
40.00
38.93
41.40
35.48
36.78
21
29.62
32.67
22
30.81
33.92
40.29
42.80
23
32.01
35.17
38.08
41.64
44.18
24
33.20
36.42
39.36
42.98
45.56
25
34.38
37.65
40.65
44.31
46.93
26
35.56
38.89
41.92
45.64
48.29
27
36.74
40.11
43.19
46.96
49.64
28
37.92
41.34
44.46
48.28
50.99
29
39.09
42.56
45.72
49.59
52.34
30
40.26
43.77
46.98
50.89
53.67
40
51.81
55.76
59.34
63.69
66.77
50
63.17
67.50
71.42
76.15
79.49
60
74.40
79.08
83.30
88.38
91.95
70
85.53
90.53
95.02
100.42
104.22
116.32
112.33
124.12
80
96.58
101.88
106.63
113.14
118.14
128.30
107.56
118.50
90
100
124.34
129.56
135.81
140.17
Table 8 of Pearson, E., and Hartley, H. O. (1966). Biometrika Tables for Statisticians
(3rd ed.). New York: Cambridge University Press. Adapted and reprinted with permission
of the Biometrika trustees.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 6 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill