Use the following sample to estimate the population
proportion of American citizens who are currently
unemployed.
Cities Employed Unemployed
Phoenix, AZ 1,017 46
Jackson, MS 649 22
Dallas, TX 2,715 319
Sacramento, CA 919 73
a. 7%
b. 8%
c. 80%
d. 92%
In order to estimate the population proportion of American citizens who are currently unemployed, we need to calculate the average proportion of unemployed individuals across the given cities.
First, we need to calculate the proportion of unemployed individuals in each city. We do this by dividing the number of unemployed individuals by the total number of employed and unemployed individuals:
Phoenix, AZ: Proportion of unemployed = 46 / (1,017 + 46) = 0.043
Jackson, MS: Proportion of unemployed = 22 / (649 + 22) = 0.033
Dallas, TX: Proportion of unemployed = 319 / (2,715 + 319) = 0.105
Sacramento, CA: Proportion of unemployed = 73 / (919 + 73) = 0.073
Next, we find the average proportion of unemployed individuals across all the cities by summing the proportions of unemployed individuals and dividing by the number of cities:
Average proportion of unemployed = (0.043 + 0.033 + 0.105 + 0.073) / 4 = 0.0635
Finally, we can express the average proportion as a percentage to answer the question. Thus, the estimated population proportion of American citizens who are currently unemployed is approximately 6.35%.
Therefore, none of the given options (a, b, c, or d) are correct. The correct estimated population proportion is 6.35%.