In: Statistics and Probability
The following table shows the number of people, in thousands, in the United States with and without health insurance in 2015. They are categorized by their household incomes.
a. What percentage of the U.S. population in 2015 did not have health insurance?
b. What percentage of the U.S. population in 2015 lived in households earning $100,000 or more?
c. What percentage of the U.S. population in 2015 did not have health insurance and lived in households earning less than $25,000?
d. What percentage of the U.S. population in 2015 did not have health insurance or lived in households earning less than $25,000?
e. What percentage of the U.S. population in 2015 did not have health insurance, given they lived in a household earning less than $25,000?
f. What percentage of the U.S. population in 2015 lived in a household earning less than $25,000, given they did not have health insurance?
Household Income | Insured | Uninsured | |
Less than $25,000 | 52989 | 7833 | |
$25,000 to $49,999 | 64279 | 8263 | |
$50,000 to $74,999 | 58121 | 5542 | |
$75,000 to $99,999 | 42303 | 3530 | |
$100,000 or more | 106372 | 4482 |
Household Income | Insured | Uninsured | Total | |
Less than $25,000 | 52989 | 7833 | 60822 | |
$25,000 to $49,999 | 64279 | 8263 | 72542 | |
$50,000 to $74,999 | 58121 | 5542 | 63663 | |
$75,000 to $99,999 | 42303 | 3530 | 45833 | |
$100,000 or more | 106372 | 4482 | 110854 | |
Total | 324064 | 29650 | 353714 | |
a) Number of people did not have health insurance = 29650 | ||||
Total number of people in population = 353714 | ||||
Percentage of U. S. population in 2015 did not have health insurance = (29650 /353714) * 100% = 8.38% | ||||
b) Number of people lived in household earning $ 100000 or more = 110854 | ||||
Percentage of people lived in household earning $ 100000 or more =(110854/ 353714) * 100% = 31.34% | ||||
c) Number of people did not have health insurance and lived in household earning less than $ 25000 = 7833 | ||||
Percentage of the U.S. Population in 2015 did not have health insurance and live in household earning less than $ 25000 = (7833 / 353714)*100% = 2.21% | ||||
d) Percenatge of U.S. Population did not have health insurance or lived in household earning less than $ 25000 = Percnatge of people did not have health insuance + Percenatge of people lived in household earning less than $ 25000 - Percentage of the U.S. Population in 2015 did not have health insurance and live in household earning less than $ 25000 = 8.38% + (60822/353714)*100% - 2.21% | ||||
Percentage of U.S. population did not have health insurance or lived in household earning less than $ 25000 = 23.36% | ||||
e) Percentage of people did not have health insurance given that they lived in household earning less than $ 25000 = ( 7833/60822)*100% = 12.88% | ||||
f) Percenatge of people lived in household earning less than $ 25000 given that they did not have health insurance = ( 7833/29650)*100%=26.42% |