A random sample of 175 students was selected from a large high school. They were each asked their current grade level and whether they have a driver's license. The responses are displayed in the table. Grade Level 9th 10th 11th 12th Yes 1 21 48 Driver's License? No 28 42 20 10 The principal would like to know if these data provide convincing evidence of a relationship between grade level and having a driver's license in the population of all students in her school. The random and 10% conditions are met, and this table of expected counts shows that all expected counts are at least 5. Grade Level 9th 10th 11th 12th 12.43 16.57 24.86 33.14 Yes 20.14 17.57 Driver's License? No 26.86 23.43 The value of the chi-square test statistic is x? = 77.18. What are the degrees of freedom and P-value of this %3D test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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A random sample of 175 students was selected from a large high school. They were each asked their current
grade level and whether they have a driver's license. The responses are displayed in the table.
Grade Level
9th
10th
11th
12th
Yes
21
48
Driver's License?
No
28
42
20
10
The principal would like to know if these data provide convincing evidence of a relationship between grade level
and having a driver's license in the population of all students in her school. The random and 10% conditions are
met, and this table of expected counts shows that all expected counts are at least 5.
Grade Level
9th
10th
11th
12th
Yes
12.43
20.14
17.57
24.86
Driver's License?
No
16.57
26.86
23.43
33.14
The value of the chi-square test statistic is x? = 77.18. What are the degrees of freedom and P-value of this
test?
Transcribed Image Text:A random sample of 175 students was selected from a large high school. They were each asked their current grade level and whether they have a driver's license. The responses are displayed in the table. Grade Level 9th 10th 11th 12th Yes 21 48 Driver's License? No 28 42 20 10 The principal would like to know if these data provide convincing evidence of a relationship between grade level and having a driver's license in the population of all students in her school. The random and 10% conditions are met, and this table of expected counts shows that all expected counts are at least 5. Grade Level 9th 10th 11th 12th Yes 12.43 20.14 17.57 24.86 Driver's License? No 16.57 26.86 23.43 33.14 The value of the chi-square test statistic is x? = 77.18. What are the degrees of freedom and P-value of this test?
The value of the chi-square test statistic is x? = 77.18. What are the degrees of freedom and P-value of this
test?
Find the chi-square table here.
O df = 3. The P-value is less than 0.0005.
O df = 3. The P-value is greater than 0.25.
df = 7. The P-value is less than .0005.
df = 7. The P-value is greater than 0.25.
Transcribed Image Text:The value of the chi-square test statistic is x? = 77.18. What are the degrees of freedom and P-value of this test? Find the chi-square table here. O df = 3. The P-value is less than 0.0005. O df = 3. The P-value is greater than 0.25. df = 7. The P-value is less than .0005. df = 7. The P-value is greater than 0.25.
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