A job-training program offers training in advance computer programming. It is su
ID: 3365936 • Letter: A
Question
A job-training program offers training in advance computer programming. It is suspected that the probability that an individual will be able to find a programming job within six months (after the completion of the program) depends on previous related working experience.A random sample of 80 individuals trained in the program yields the following frequency table:
Of the 52, 16 and 12 individuals in the three experience categories listed in the table, respectively, 20, 8 and 10 were able to find a programming job within six months.
a. At a 5% level of significance, is there any evidence to support the hypothesis that the
probability of finding a job (within six months) depends on prior related working experience?
test statistics X^2 = 7.922 (how to calculate that)
Number of Years of Experience Number of individuals 0 52 1 16 more than 1 12Explanation / Answer
Result:
A job-training program offers training in advance computer programming. It is suspected that the probability that an individual will be able to find a programming job within six months (after the completion of the program) depends on previous related working experience.A random sample of 80 individuals trained in the program yields the following frequency table:
Number of Years of Experience
Number of individuals
0
52
1
16
more than 1
12
Of the 52, 16 and 12 individuals in the three experience categories listed in the table, respectively, 20, 8 and 10 were able to find a programming job within six months.
a. At a 5% level of significance, is there any evidence to support the hypothesis that the
probability of finding a job (within six months) depends on prior related working experience?
test statistics X^2 = 7.922 (how to calculate that)
Chi-Square Test
Observed Frequencies
Column variable
Calculations
Row variable
C1
C2
C3
Total
fo-fe
R1
20
8
10
38
-4.7
0.4
4.3
R2
32
8
2
42
4.7
-0.4
-4.3
Total
52
16
12
80
Expected Frequencies
Column variable
Row variable
C1
C2
C3
Total
(fo-fe)^2/fe
R1
24.7
7.6
5.7
38
0.8943
0.0211
3.2439
R2
27.3
8.4
6.3
42
0.8092
0.0190
2.9349
Total
52
16
12
80
Data
Level of Significance
0.05
Number of Rows
2
Number of Columns
3
Degrees of Freedom
2
Results
Critical Value
5.9915
Chi-Square Test Statistic
7.9224
p-Value
0.0190
Reject the null hypothesis
Calculated chi square =7.922 which is > 5.991 the critical value at 0.05 level.
Ho is rejected.
There is enough evidence to support the hypothesis that the probability of finding a job (within six months) depends on prior related working experience.
Number of Years of Experience
Number of individuals
0
52
1
16
more than 1
12
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