In a survey of 480 drivers from the South, 393 wear a seat belt. In a survey of 350 drivers from the Northeast, 293 wear a seat belt. At α=0.09, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).
In a survey of 480 drivers from the South, 393 wear a seat belt. In a survey of 350 drivers from the Northeast, 293 wear a seat belt. At α=0.09, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
In a survey of
480
drivers from the South,
393
wear a seat belt. In a survey of
350
drivers from the Northeast,
293
wear a seat belt. At
α=0.09,
can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).(a) Identify the claim and state
H0
and
Ha.
The claim is "the proportion of drivers who wear seat belts in the South is
in the Northeast."
▼
different than
greater than
the same as
less than
Let
p1
represent the population proportion for the South, and
p2
represent the population proportion for the Northeast. State
H0
and
Ha.
Choose the correct answer below.
H0:
p1≤p2
Ha:
p1>p2
H0:
p1=p2
Ha:
p1≠p2
H0:
p1≥p2
Ha:
p1<p2
H0:
p1<p2
Ha:
p1≥p2
H0:
p1>p2
Ha:
p1≤p2
H0:
p1≠p2
Ha:
p1=p2
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is(are)
nothing.
(Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.)
Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.)
z>nothing
z<nothing
nothing<z<nothing
z<nothing
and
z>nothing
(c) Find the standardized test statistic.
z=nothing
(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.
Choose the correct answer below.
Reject
H0
because the test statistic
is
in the rejection region.Reject
H0
because the test statistic
is not
in the rejection region.Fail to reject
H0
because the test statistic
is
in the rejection region.Fail to reject
H0
because the test statistic
is not
in the rejection region.(e) Interpret the decision in the context of the original claim.
Choose the correct answer below.
At the
9%
significance level, there is
sufficient
evidence to reject the claim.At the
9%
significance level, there is
sufficient
evidence to support the claim.At the
9%
significance level, there is
insufficient
evidence to support the claim.At the
9%
significance level, there is
insufficient
evidence to reject the claim.Expert Solution
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