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A study investigating the links between health risks and education surveyed adul

ID: 3355355 • Letter: A

Question

A study investigating the links between health risks and education surveyed adults in a metropolitan area and found that 19% of those without a high school degree, 15% of those with a high school degree/GED, and 7% of those with a college degree smoke cigarettes daily.

a. For this analysis, what is the explanatory variable? What is the response variable?

b. Would you say that smoking status and education level are independent? Justify your answer.

c. If you randomly selected 5 people in this area who do not have a high school degree, what is the probability that at least one of them smokes daily?

Explanation / Answer

a) Explantory variable is School degree and Response variable is Health risk

b) No, they are not independent because we have probability of 0.15 that of high school degree students smoking

c) Here n = 5

P = 0.19

P( at least one smokes = 1-P( No one smokes)

P( at least one smokes ) = 1-(1-0.19)^5

P( at least one smokes ) = 0.6513