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The table to the right shows the number of people, in thousands, in a country wi

ID: 3301333 • Letter: T

Question

The table to the right shows the number of people, in thousands, in a country without health insurance in a certain year. Complete parts a) through d) below. 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? ____ % (Round to two decimal places as needed.) 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? ___ % (Round to two decimal places as needed.) c) What percentage of the countries' population in the year did have health insurance, given they were 65 years or older? __% (Round to two decimal places as needed.) 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 is insured. What conclusions can be drawn with this information? A. They are dependent events since P(A|B) notequalto P(A). B. They are independent events since P(A|B) notequalto P(A). C. They are independent events since P(A|B) almostequalto P(A). D. They are dependent events since P(A|B) almostequalto P(A).

Explanation / Answer

a) Required Percentage = 8681 / 305540 = 0.0284 =2.84%
b) Requaired Percentage = 11987 / 305540 = 0.03923 = 3.92%
c) P(have health insurance / they were 65 years or older)
= P(have health insurance and they were 65 years or older) / P(they were 65 years or older)
= (38623 / 305540) / (39406/305540) = 0.98013
d) P(A) = 80645 / 305540 = 0.2639
P(B) = 255376 / 305540 = 0.83582
P(A and B) = 67213 / 305540 = 0.221
Here P(A) * P(B) = 0.2639 * 0.83582 = 0.221 = P(A and B)
Therefore, A and B are independent
Correct answer: (C)

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