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The Behavioral Risk Factor Surveillance System (BRFSS) is an annual telephone su

ID: 3130663 • Letter: T

Question

The Behavioral Risk Factor Surveillance System (BRFSS) is an annual telephone survey designed to identify risk factors in the adult population and report emerging health trends. The following table displays the distribution of health status of respondents to this survey (excellent, very good, good, fair, poor) conditional on whether or not they have health insurance. (please round any numerical answers to 4 decimal places) What is the probability that a randomly chosen individual has excellent health? What is the probability that a randomly chosen individual has excellent health given that he has health coverage? What is the probability that a randomly chosen individual has excellent health given that he doesn't have health coverage? Does having excellent health and having health coverage appear to be independent? being in excellent health and having health coverage are independent being in excellent health and having health coverage are dependent

Explanation / Answer

a)

From the table,

P(exc) = 0.2329 [ANSWER]
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b)

P(exc|cov) = 0.2099/0.8738 = 0.240215152 [ANSWER]

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c)

P(exc|no cov) = 0.023/0.1262 = 0.182250396 [ANSWER]

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d)

As the probabilities for health excellence given health coverage and given no coverage are not equal (parts b and c), then they are

OPTION B: DEPENDENT [ANSWER]