Statistics: Z-test: Testing hypotheses – #25161


Question: The International City Managers Association conducts a study of bureaucratic quality across a random sample of 120 U.S. cities. Bureaucratic quality measures the degree to which agencies engage in strategic planning and generate organizational outcomes that closely match their organizational missions and goals. Quality is measured on a low, medium, and high scale. The Association’s researchers believe that bureaucratic quality will have a positive effect on economic development within the cities. Apply of the five steps of hypothesis testing and interpret the results.

Table 2. Economic Development by Bureaucratic Quality
Economic development Bureaucratic quality Total
Low Medium High
dimension0 Low d 16 12 6 34
40.0% 24.0% 20.0% 28.3%
Medium d 14 16 8 38
35.0% 32.0% 26.7% 31.7%
High d1 10 22 16 48
25.0% 44.0% 53.3% 40.0%
Total 40 50 30 120
100.0% 100.0% 100.0% 100.0%

Χ2 = 7.151 (from SPSS), df=4, p=0.128

γ=0.316, p=0.008

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