Parking habits on one-way streets. Kathryn Emma Jinyung has been studying the ha
ID: 3159056 • Letter: P
Question
Parking habits on one-way streets. 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
Formulating the null and alternatuve hypotheses,
Ho: p <= 0.5
Ha: p > 0.5
As we see, the hypothesized po = 0.5
Getting the point estimate of p, p^,
p^ = x / n = 0.6
Getting the standard error of p^, sp,
sp = sqrt[po (1 - po)/n] = 0.05
Getting the z statistic,
z = (p^ - po)/sp = 2
As this is a 1 tailed test, then, getting the p value,
Pvalue = 0.022750132
As the P value is small, we REJECT THE NULL HYPOTHESIS.
There is significant evidence that people are more likely to walk against traffic after parking. [CONCLUSION]