A guidance counselor selected random samples of 25 ninth graders, 25 tenth graders, 25 eleventh graders, and 25 twelfth graders from her large high school. She asked each student whether they have a job. The results are displayed in the tables. Observed counts: Grade Level 9th 10th 11th 12th Yes 3 12 15 19 Employed? No 22 13 10 6 Expected counts: Grade Level 9th 10th 11th 12th Yes 12.25 12.25 12.25 12.25 Employed? No 12.75 12.75 12.75 12.75 She decides to test these hypotheses: H.: There ie no difference in the distribution of ioh status for all Qth 10th 11th and 12th araders at this biah

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A guidance counselor selected random samples of 25 ninth graders, 25 tenth graders, 25 eleventh graders, and
25 twelfth graders from her large high school. She asked each student whether they have a job. The results are
displayed in the tables.
Observed counts:
Grade Level
9th
10th
11th
12th
Yes
3
12
15
19
Employed?
No
22
13
10
6
Expected counts:
Grade Level
9th
10th
11th
12th
Yes
12.25
12.25
12.25
12.25
Employed?
No
12.75
12.75
12.75
12.75
She decides to test these hypotheses:
H.: There ie no difference in the distribution of ioh status for all Qth 10th 11th and 12th araders at this biah
Transcribed Image Text:A guidance counselor selected random samples of 25 ninth graders, 25 tenth graders, 25 eleventh graders, and 25 twelfth graders from her large high school. She asked each student whether they have a job. The results are displayed in the tables. Observed counts: Grade Level 9th 10th 11th 12th Yes 3 12 15 19 Employed? No 22 13 10 6 Expected counts: Grade Level 9th 10th 11th 12th Yes 12.25 12.25 12.25 12.25 Employed? No 12.75 12.75 12.75 12.75 She decides to test these hypotheses: H.: There ie no difference in the distribution of ioh status for all Qth 10th 11th and 12th araders at this biah
Grade Level
9th
10th
11th
12th
Yes
12.25
12.25
12.25
12.25
Employed?
No
12.75
12.75
12.75
12.75
She decides to test these hypotheses:
Ho: There is no difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high
school.
Hg: There is a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high
school.
The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of
freedom for this test?
O x? = 4.71, df = 3
O x? = 4.71, df = 7
O x2 = 22.21, df = 3
O x? = 22.21, df = 7
Transcribed Image Text:Grade Level 9th 10th 11th 12th Yes 12.25 12.25 12.25 12.25 Employed? No 12.75 12.75 12.75 12.75 She decides to test these hypotheses: Ho: There is no difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. Hg: There is a difference in the distribution of job status for all 9th, 10th, 11th, and 12th graders at this high school. The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test? O x? = 4.71, df = 3 O x? = 4.71, df = 7 O x2 = 22.21, df = 3 O x? = 22.21, df = 7
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