1. Computer abuse by employees is an ongoing worry to businesses. A study revealed the data shown below. At α = .01, is the frequency of disciplinary action independent of the abuser's level of privilege?
Computer Abuse Incidents Cross-Tabulated by Punishment and Privilege
| Level of Privilege |
Disciplined |
Not Disciplined |
Row Total |
| Low |
23 |
4 |
27 |
| Medium |
26 |
7 |
33 |
| High |
26 |
6 |
32 |
| Col Total |
75 |
17 |
92 |
(a) Calculate the Chi-square test statistic, degrees of freedom and the p-value.
(b) Find the critical value for Chi-Square. Refer to the chi-square table.
2. In a three-digit lottery, each of the three digits is supposed to have the same probability of occurrence (counting initial blanks as zeros, e.g., 32 is treated as 032). The table shows the frequency of occurrence of each digit for 90 consecutive daily three-digit drawings.
Digits in 3-Digit Lottery Numbers on 90 Days
| Digit |
Frequency |
| 0 |
15 |
| 1 |
32 |
| 2 |
15 |
| 3 |
26 |
| 4 |
39 |
| 5 |
30 |
| 6 |
32 |
| 7 |
27 |
| 8 |
31 |
| 9 |
23 |
| Total |
270 |
Calculate the Chi-square test statistic, degrees of freedom and the p-value.