Investigation 3: I-66 Outside the Beltway (no data set): The Transform 66 Outside the Beltway project, scheduled to be c

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Investigation 3: I-66 Outside the Beltway (no data
set): The Transform 66 Outside the Beltway project,
scheduled to be completed late 2022, is an expansion of the current
highway that will provide new travel choices for drivers and
hopefully congestion relief from the Capital Beltway (I-495) to
Gainesville for a 22.5 mile stretch. This 22.5 mile stretch of I-66
will go through both Fairfax County and Prince William County. VDOT
had team members from the project reach out through a phone survey
for a random selection of 3,500 residents from both Fairfax County
and Prince William County. One question asked on the survey was “Do
you feel that the new I-66 Express Lanes will bring congestion
relief?” Of the Fairfax County residents surveyed, 1,642 agreed
they thought that the expansion will bring congestion relief while
only 1,576 of the Prince William County residents surveyed agreed
with the statement.
e) Does your confidence interval capture 0? What does this
indicate about the two samples?
f) State the null and alternative hypotheses using correct
notation if you were to test to see if there is a difference in the
proportions for approval between all residents of Fairfax County
and Prince William County.
g) State whether you reject or do not reject the null hypothesis
in part (f) and the reason for your decision in one sentence. State
your conclusion in context of the problem (i.e. interpret your
results and/or answer the question being posed) in one or two
complete sentences.
h) What is a possible confounding variable that might have
introduced sampling bias into the results of the survey? Answer in
one to two sentences.