Question

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?

Answer 1

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`