A large corporation is interested in determining whether a relationship exists b
ID: 3132209 • Letter: A
Question
A large corporation is interested in determining whether a relationship exists between the commuting time of its employees and the level of stress-related problems observed on the job. A study of 119 workers reveals the data in the accompanying table. Complete parts (a) and (b) below. Click the icon to view the table. Click the icon to view the table of critical values for chi-square distributions a. At the 0.01 level of significance, is there evidence of a relationship between commuting time and stress level? State the null and alternative hypotheses to test. Ho: There is no relationship between commuting time and stress level. H1 : There is a relationship between commuting time and stress level. Find the test statistic. STAT = (Round to two decimal places as needed.)Explanation / Answer
Chi-Square Test
Observed Frequencies
Stress level
Commuting time
High
Moderate
Low
Total
Under 15 min.
9
5
20
34
15 - 45 min.
17
8
28
53
Over 45 min.
19
6
7
32
Total
45
19
55
119
Expected Frequencies
Stress level
Commuting time
High
Moderate
Low
Total
Under 15 min.
12.85714
5.4285714
15.71429
34
15 - 45 min.
20.04202
8.4621849
24.4958
53
Over 45 min.
12.10084
5.1092437
14.78992
32
Total
45
19
55
119
Data
Level of Significance
0.01
Number of Rows
3
Number of Columns
3
Degrees of Freedom
4
Results
Critical Value
13.2767
Chi-Square Test Statistic
11.53982
p-Value
0.021122
Do not reject the null hypothesis
Expected frequency assumption
is met.
Chi-Square Test
Observed Frequencies
Stress level
Commuting time
High
Moderate
Low
Total
Under 15 min.
9
5
20
34
15 - 45 min.
17
8
28
53
Over 45 min.
19
6
7
32
Total
45
19
55
119
Expected Frequencies
Stress level
Commuting time
High
Moderate
Low
Total
Under 15 min.
12.85714
5.4285714
15.71429
34
15 - 45 min.
20.04202
8.4621849
24.4958
53
Over 45 min.
12.10084
5.1092437
14.78992
32
Total
45
19
55
119
Data
Level of Significance
0.01
Number of Rows
3
Number of Columns
3
Degrees of Freedom
4
Results
Critical Value
13.2767
Chi-Square Test Statistic
11.53982
p-Value
0.021122
Do not reject the null hypothesis
Expected frequency assumption
is met.
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