8. 0/1 points | Previous Answers WaneFM7 7.6.024 My NotesAsk Your Teacher In a c

Question

8. 0/1 points | Previous Answers WaneFM7 7.6.024 My NotesAsk Your Teacher In a certain year, 59% of all Caucasians in the U.S., 55% of all African-Americans, 58% of all Hispanics, and 54% of residents not classified into one of these groups used the Internet to search for information. At that time, the U.S. population was 68% Caucasian, 11% African-American, and 15% Hispanic. what percentage of U.S. residents who used the Internet for information search were African-American? (Round your answer to the nearest whole percent.) X% Need Help?Read It

Explanation / Answer

Percentage of residents not classified into any of these groups = 100 - (68+11+15)

= 6%

Baye's Theorem: P(A | B) = P(A & B)/P(B)

P(African American | Used internet) = P(African American and used internet) / P(used internet)

= 0.55x0.11 / (0.59x0.68 + 0.55x0.11 + 0.58x0.15 + 0.54x0.06)

= 0.0605 / 0.5811

= 0.10

= 10%

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