Question
1.Calculate 2 for the hypothetical data shown in Table 1 below and determine whether the relationship is statistically significant. Welfare outcomes (e.g., time to find
1.Calculate 2for the hypothetical data shown in Table 1 below and determine whether the relationship is statistically significant. Welfare outcomes (e.g., time to find a job) are examined as a function of the education levels of welfare recipients. Use Table 2 to calculate your expected frequencies. Use the CHITEST function in Excel to calculate p-value in a Chi-Square test statistic. Please write a few sentences interpreting your result (e.g. Does a relationship exist between the education level and the degree of welfare outcome?).
Table 1: Observed Frequencies
Welfare Outcome | Education | |||
No H.S. Degree | H.S. Degree | Some College | Total | |
Low | 60 | 55 | 10 | 125 |
Medium | 35 | 55 | 15 | 105 |
High | 25 | 30 | 20 | 75 |
Total | 120 | 140 | 45 | 305 |
Table 2: Expected Frequencies:
Welfare Outcome | Education | |||
No H.S. Degree | H.S. Degree | Some College | Total | |
Low | ||||
Medium | ||||
High | ||||
Total |
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