State your conclusion to the hypothesis test. Is achieving a basic skill level i
ID: 3289795 • Letter: S
Question
State your conclusion to the hypothesis test. Is achieving a basic skill level in a subject independent to the location of the school? A random sample of students categorized by the location of school and the number achieving basic skills in three subjects is shown in the table. Conduct a chi-square test of independence at the 1% significance level to test whether the two variables are independent and state your conclusion. There is not sufficient sample evidence to suggest that skill level in a subject is independent of location. There is sufficient sample evidence to suggest that skill level in a subject is dependent of location. There is not sufficient sample evidence to suggest that skill level in a subject is dependent of location. There is sufficient sample evidence to suggest that skill level in a subject is independent of location. cannot be determined.Explanation / Answer
Answer:
Df=2
Critical value at 1% level=9.21
Calculated chi square =0.30 < critical value 9.2. Ho is not rejected.
Option 3
There is not sufficient sample evidence to suggest that skill level in a subject is dependent of location.
Chi-Square Test
Observed Frequencies
Column variable
Calculations
Row variable
C1
C2
C3
Total
fo-fe
R1
43
42
38
123
1.8707
0.0946
-1.9653
R2
63
66
65
194
-1.8707
-0.0946
1.9653
Total
106
108
103
317
Expected Frequencies
Column variable
Row variable
C1
C2
C3
Total
(fo-fe)^2/fe
R1
41.1293
41.9054
39.9653
123
0.0851
0.0002
0.0966
R2
64.8707
66.0946
63.0347
194
0.0539
0.0001
0.0613
Total
106
108
103
317
Data
Level of Significance
0.01
Number of Rows
2
Number of Columns
3
Degrees of Freedom
2
Results
Critical Value
9.2103
Chi-Square Test Statistic
0.2973
p-Value
0.8619
Do not reject the null hypothesis
Chi-Square Test
Observed Frequencies
Column variable
Calculations
Row variable
C1
C2
C3
Total
fo-fe
R1
43
42
38
123
1.8707
0.0946
-1.9653
R2
63
66
65
194
-1.8707
-0.0946
1.9653
Total
106
108
103
317
Expected Frequencies
Column variable
Row variable
C1
C2
C3
Total
(fo-fe)^2/fe
R1
41.1293
41.9054
39.9653
123
0.0851
0.0002
0.0966
R2
64.8707
66.0946
63.0347
194
0.0539
0.0001
0.0613
Total
106
108
103
317
Data
Level of Significance
0.01
Number of Rows
2
Number of Columns
3
Degrees of Freedom
2
Results
Critical Value
9.2103
Chi-Square Test Statistic
0.2973
p-Value
0.8619
Do not reject the null hypothesis
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