Kathryn Emma Jinyung has been studying the habits of people who park on a one-wa

Question

Kathryn Emma Jinyung has been studying the habits of people who park on a one-way street outside her office. She had been told that people are as likely to walk with the traffic (in the same direction as that in which they had been driving) as they are to walk against the traffic (in the direction opposite to that in which they had been driving) once they leave their car. Kathryn believes that, in fact, people are more inclined to drive past their destination before parking and, therefore, are more likely to walk against traffic after parking. She has observed 100 people park near her office; 60 of them walked against the traffic. Is there evidence to conclude that Kathryn is correct in her belief?

Explanation / Answer

expected number walked against the traffic=100/2=50 (since we expect equaly likely)

therefore we go for goodness of fit using chi-square

chi-square=sum((O-E)2/E)

here chi-suare statistic =4.1667 with 1 df

which is more than critical chi-square 3.84, so we reject equaly likely of walking against trafic. therefore we conclude there are more likely to walk against traffic after parking.

Oberved(O) Expeted (E) (O-E) (O-E)2/E against traffic 60 50 10 1.666667 not against traffic 40 50 -10 2.5 total 100 4.166667 critical chi-square (alpha=.05,df=1)= 3.84145915

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