Use the following for questions 14 through 16. The table below describes residen

Question

Use the following for questions 14 through 16. The table below describes residents of an Atlanta neighborhood based on their car ownership and public transportation usage.

14. What is the probability that a randomly selected resident of this neighborhood both owns a car and uses public transport?

a. 0.125

b. 0.153

c. 0.213

d. 0.266

e. none of the above

15. Which proportions should we examine if we want to compare the proportion of individuals who use public transport among those who do and do not own a car?

a. 34/128 vs 126/143

b. 160/271 vs 128/271

c. 34/271 vs 126/271

d. 34/160 vs 94/111

e. none of the above

16. Is owning a car independent of using public transportation?

a. Yes, because Pr(owns car | uses public transit) = Pr(owns car)

b. Yes, because Pr(owns car AND uses public transit) = Pr(owns car) × P(uses public transit)

c. No, because Pr(owns car | uses public transit) 6= Pr(owns car)

d. No, because Pr(owns car AND uses public transit) 6= Pr(owns car) × P(uses public transit)

e. Both C and D

Owns Car Does Not Own Car Total Use Public Transportation 34 94 128 Does not use public transportation 126 17 143 Total 160 111 271

Explanation / Answer

14) P( Both Owns a car and uses Transport) = 34/271 = 0.125

15) Option D. 34/160 vs 94/111

16) No, because Pr(owns car AND uses public transit) 6= Pr(owns car) × P(uses public transit)

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