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Calculate the chi-square test statistic

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Reference no: EM131002906

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.

Reference no: EM131002906

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