1. The Chicago Reader is doing some research on the proportion of public transit users that also own personal motor vehicles, and they're comparing the results between CTA riders and Metra riders. For
their research, they went out on a Monday and recruited a sample of riders on the CTA and the Metra,
and asked them whether they also own a personal motor vehicle. The results are summarized in the
table below
Metra CTA
43 39
22 41
#vehicle owners
non-owners
Conduct a hypothesis test to determine whether there is significant statistical evidence (a = 0.05) to
support the claim that riders of the CTA and Metra are not equally likely to own a personal motor
vehicle. Follow the prompts below to complete your test.
What variables are being studied here? Is this a one-sided or two-sided test? Do the variables satisfy
the Central Limit Theorem?
Null hypothesis
Alternative hypothesis:
I
Standard error (remember that in a comparison of two proportions, we use the pooled proportion in this
calculation):
z value for the difference of proportions:
Approximate p-value for the difference:
What is the conclusion of your hypothesis test regarding the initial hypotheses you set up?