6) A study of age discrimination considers promotions among middle managers in a large company. The...
6) A study of age discrimination considers promotions among middle managers in a large company. The data follows below. Does this data provide significant evidence of a relationship between age and promotion? Use α = 0.05.
Age
|
Under 30 |
30-29 |
40-49 |
50 and Over |
Total |
|
|
Promoted |
9 |
29 |
32 |
10 |
80 |
|
Not Promoted |
41 |
41 |
48 |
40 |
170 |
|
Total |
50 |
70 |
80 |
50 |
250 |
Homework Answers
NULL HYPOTHESIS H0: AGE AND PROMOTION INDEPENDENT.
ALTERNATIVE HYPOTHESIS Ha: AGE AND PROMOTION ARE DEPENDENT.
| category 1 | Category 2 | Category 3 | Category 4 | Row Totals | ||
| PROMOTED | 9 (16.00) [3.06] | 29 (22.40) [1.94] | 32 (25.60) [1.60] | 10 (16.00) [2.25] | 80 | |
| NON PROMOTED | 41 (34.00) [1.44] | 41 (47.60) [0.92] | 48 (54.40) [0.75] | 40 (34.00) [1.06] | 170 | |
| Column Totals | 50 | 70 | 80 | 50 | 250 (Grand Total) |
The chi-square statistic is 13.0252. The p-value is
.004582. The result is significant at p < .05.
We can conclude that AGE AND PROMOTION ARE DEPENDENT.
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