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The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no college degree is 9.7 % while the unemployment rate for college graduates with a bachelor’s degree is only 5.2 %. Find the difference in proportions of those unemployed between these two groups and give the correct notation for the difference, with a minus sign. Since the data come from the census, you can assume that the values are from a population rather than a sample. Use the correct notation for population proportions and use subscripts on the proportions to identify the two groups. Assume high school graduates with no college degree are group 1 and college graduates with a bachelor's degree are group 2. 1Thompson, D., ‘‘What’s More Expensive than College?

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Answer:

The difference is
p= 0.045

Explanation:

From the question we are told that

The proportion unemployment rate for high graduated is
p_1 = 0.097

The proportion unemployment rate for college graduate is
p_2 = 0.052

Generally the difference in proportions of those unemployed between these two groups is mathematically represented as


p= p_1 - p_2

=>
p= 0.097- 0.052

=>
p= 0.045

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