Question

The table shows the number of people, in thousands, in a country without health insurance in a certain year.

	Insured	Uninsured
UNDER 18 YEARS	67,936	7,627
18 TO 25 YEARS	21,847	8,814
25 TO 34 YEARS	29,993	11,039
35 TO 44 YEARS	31,973	8,799
45 TO 54 YEARS	67,710	13,467
65 YEARS AND OLDER	38,423	757

a) What percentage of the countries' population in the year did not have health insurance and was between the ages of 18 to 24 years?

b) What percentage of the countries' population in the year did not have health insurance or was between the ages of 25 to 34 years?

c) What percentage of the countries' population in the year did have health insurance, given they were 65 years or older?

d) Do age group and health insurance appear to be independent or dependent events? Define Event A was a person 45 to 64 years old and Event B as the person

Answer 1

	Insured	Uninsured	total
UNDER 18 YEARS	67,936	7,627	75,563
18 TO 25 YEARS	21,847	8,814	30,661
25 TO 34 YEARS	29,993	11,039	41,032
35 TO 44 YEARS	31,973	8,799	40,772
45 TO 54 YEARS	67,710	13,467	81,177
65 YEARS AND OLDER	38,423	757	39,180
total	2,57,882	50,503	3,08,385

a)

percentage of the countries' population in the year did not have health insurance and was between the ages of 18 to 24 years =(8814/308385)*100

=2.86%

b)

percentage of the countries' population in the year did not have health insurance or was between the ages of 25 to 34 years =((50503+41032-11039)/308385)*100 =26.10%

c)

percentage of the countries' population in the year did have health insurance, given they were 65 years or older =(38423/39180)*100=98.07%

d)

here P(A)=81177/308385 and P(B)=257882/308385

also P(A n B)=67710/308385 ; which is not euqal to P(A)*P(B) ; therefore A and B are nt independent