To estimate the population proportion of American citizens who are currently unemployed based on the provided sample data, we first need to calculate the total number of employed and unemployed individuals across the four cities.
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Calculate Total Employed and Unemployed:
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Employed:
- Phoenix: 1,017
- Jackson: 649
- Dallas: 2,715
- Sacramento: 919
Total Employed = 1,017 + 649 + 2,715 + 919 = 5,300
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Unemployed:
- Phoenix: 46
- Jackson: 22
- Dallas: 319
- Sacramento: 73
Total Unemployed = 46 + 22 + 319 + 73 = 460
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Calculate Total People in Sample: Total People = Total Employed + Total Unemployed Total People = 5,300 + 460 = 5,760
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Calculate Population Proportion of Unemployed: Proportion Unemployed = Total Unemployed / Total People Proportion Unemployed = 460 / 5,760
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Calculate the Value: Proportion Unemployed ≈ 0.07986
To express this as a percentage, multiply by 100: Proportion Unemployed (%) ≈ 0.07986 × 100 ≈ 7.986%
Rounding this to a common percentage, we would get approximately 8%.
Thus, the estimated proportion of American citizens who are currently unemployed based on this sample is 8%.