grad29 Posted July 17, 2015 Share Posted July 17, 2015 In 2008, more members of the U.S. population in the 45 to 54 years old age group had health insurance than in the 35 to 44 years old age group This was a problem I encountered while taking the Manhatten practice test. I've noticed I've been having a problem interpreting the language in the quantitative questions "correctly". The above statement I view as being true, based on the graph. The bar is higher for the 45 to 54 years age group than the 35 to 44 years age group. However, it is false. The reason they gave is: "For the two age groups mentioned, look at the middle graph. The year 2008 is represented by the light gray bars. This bar is higher for the 45 to 54 category than for the 35 to 44 category, so you might be tempted to conclude that there were more 45- to 54-year-olds who have health insurance than there are 35- to 44-year-olds in 2008. Watch out! This is a case in which you cannot take "percent of population" comparisons and make "number of people" inferences from them, because we don't know the total number of people in each age range. For example, there might have been 50 million 45- to 54-year-olds in 2008. According to the chart, about 84% of them had health insurance, for a possible total of 42 million insured. There might have been 55 million 35- to 44-year-olds in 2008. According to the chart, about 81% of them had health insurance, for a possible total of 44.55 million insured. The number of people insured could be greater in the group with the lower percent insured, if there are more people total in that group.Since we don't know population by age group, this statement might be false (as shown above) or might be true (with different numbers tested for the populations)." The title of the graph, the "percent of U.S. population with Health insurance by Age", to me means all the percentages are based on a constant number, that number being the total U.S. population. If there's 81% of the U.S. population (let's say 320 million) with Health Insurance, that is less than 84% of the U.S. population, so you could know that more members in the higher age group had health insurance, since both are a percentage based on a constant number (320 million, the U.S. population). The language a lot of these qualitative questions uses is subjective? Link to comment Share on other sites More sharing options...
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